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268 results on '"Base space"'

1. Quaternionic slice regular functions with some sphere bundles.

Author

González-Cervantes, J. Oscar

Subjects
*SYMMETRIC domains, *QUATERNION functions, *SPHERES, *FUNCTION spaces, *EMPLOYEE motivation, *QUATERNIONS
Abstract

In the hypercomplex analysis, it is well known that the quaternionic slice regular functions are defined on axially symmetric slice domains and that each quaternion is represented in the form x + i y , where x , y ∈ R and i ∈ S 2 but the mapping ((x , y) , i) ↦ x + i y allows to see that any axially symmetric slice domain is the base space of a trivial sphere bundle. Remember that a sphere bundle is a useful concept in topology and it is a fiber bundle in which the fibers are spheres of dimension n. The previous idea is the natural motivation of this work whose purpose is to present a definition of the quaternionic slice regular functions on the total space of some sphere bundles, show two non-trivial examples of these function spaces and establish some important results of this function theory. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Elliptic and Parabolic Problems

Author

Prüss, Jan, Simonett, Gieri, Amann, Herbert, Series editor, Bourguignon, Jean Pierre, Series editor, Chen, William Y.C., Series editor, Grove, Karsten, Series editor, Vasiliev, Alexander, Series editor, Prüss, Jan, and Simonett, Gieri

Published
2016
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6. Hyperbolicity for Log Smooth Families with Maximal Variation

Author

Lei Wu and Chuanhao Wei

Subjects
General Mathematics, Base space, Degenerate energy levels, Type (model theory), Base (topology), Combinatorics, Minimal model, Mathematics - Algebraic Geometry, Variation (linguistics), FOS: Mathematics, Canonical model, 14J99, 14F10, 14D99, Algebraic Geometry (math.AG), Mathematics
Abstract

We prove that the base space of a log smooth family of log canonical pairs of log general type is of log general type as well as algebraically degenerate, when the family admits a relative good minimal model over a Zariski open subset of the base and the relative log canonical model is of maximal variation., 24 pages, Comments welcome

Published
2021

19. G-Spaces, G-Bundles, and G-Vector Bundles

Author

Husemöller, D., Joachim, M., Jurčo, B., Schottenloher, M., Beig, R., editor, Beiglböck, W., editor, Domcke, W., editor, Englert, B.-G., editor, Frisch, U., editor, Hänggi, P., editor, Hasinger, G., editor, Hepp, K., editor, Hillebrandt, W., editor, Imboden, D., editor, Jaffe, R. L., editor, Lipowsky, R., editor, Löhneysen, H. v., editor, Ojima, I., editor, Sornette, D., editor, Theisen, S., editor, Weise, W., editor, Wess, J., editor, Zittartz, J., editor, Husemöller, D., Joachim, M., Jurčo, B., and Schottenloher, M.

Published
2008
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22. Rigidity of the mod 2 families Seiberg–Witten invariants and topology of families of spin 4-manifolds

Author

Nobuhiro Nakamura, Tsuyoshi Kato, and Hokuto Konno

Subjects
Mathematics - Differential Geometry, Rigidity (psychology), Homeomorphism group, Space (mathematics), Topology, 01 natural sciences, Mathematics - Geometric Topology, Mathematics::Algebraic Geometry, Mod, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, Mathematics::Symplectic Geometry, Topology (chemistry), Mathematics, Spin-½, Algebra and Number Theory, Mathematics::Commutative Algebra, Fiber (mathematics), Base space, 010102 general mathematics, Geometric Topology (math.GT), Mathematics::Geometric Topology, Differential Geometry (math.DG), Mathematics::Differential Geometry, 010307 mathematical physics
Abstract

We show a rigidity theorem for the Seiberg-Witten invariants mod 2 for families of spin 4-manifolds. A mechanism of this rigidity theorem also gives a family version of 10/8-type inequality. As an application, we prove the existence of non-smoothable topological families of 4-manifolds whose fiber, base space, and total space are smoothable as manifolds. These non-smoothable topological families provide new examples of 4-manifolds $M$ for which the inclusion maps $\operatorname{Diff}(M) \hookrightarrow \operatorname{Homeo}(M)$ are not weak homotopy equivalences. We shall also give a new series of non-smoothable topological actions on some spin 4-manifolds., 40 pages, to appear in Compositio Mathematica

Published
2021

26. Global Modal Logics for Multiagent Systems: A Logical Fibering Approach

Author

Edtmayr, Johann, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Moreno Díaz, Roberto, editor, Pichler, Franz, editor, and Quesada Arencibia, Alexis, editor

Published
2005
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27. Towards a Biomathematical Model of Intentional Autonomous Multiagent Systems

Author

Pfalzgraf, J., Mitterauer, B., Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Moreno Díaz, Roberto, editor, Pichler, Franz, editor, and Quesada Arencibia, Alexis, editor

Published
2005
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29. Neutral signature gauged supergravity solutions

Author

Jan B. Gutowski and Wafic Sabra

Subjects
Physics, High Energy Physics - Theory, Nuclear and High Energy Physics, Base space, Gauged supergravity, High Energy Physics::Phenomenology, Space-Time Symmetries, Fibration, Structure (category theory), FOS: Physical sciences, Cosmological constant, Theoretical physics, High Energy Physics::Theory, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Killing spinor, lcsh:QC770-798, lcsh:Nuclear and particle physics. Atomic energy. Radioactivity, Signature (topology), Supergravity Models
Abstract

We classify all supersymmetric solutions of minimal D=4 gauged supergravity with (2,2) signature and a positive cosmological constant which admit exactly one Killing spinor. This classification produces a geometric structure which is more general than that found for previous classifications of N=2 supersymmetric solutions of this theory. We illustrate how the N=2 solutions which consist of a fibration over a 3-dimensional Lorentzian Gauduchon-Tod base space can be written in terms of this more generic geometric structure., 20 pages, latex

Published
2021

30. Functional Architecture of the Visual Cortex and Variational Models for Kanizsa’s Modal Subjective Contours

Author

Petitot, Jean, Leinfellner, W., editor, Eberlein, G., editor, Boudon, R., editor, Bunge, M., editor, Coleman, J. S., editor, Götschl, J., editor, Kern, L., editor, Levi, I., editor, Mattessich, R., editor, Munier, B., editor, Nida-Rümelin, J., editor, Rapoport, A., editor, Sen, A., editor, Tuomela, R., editor, Tversky, A., editor, and Carsetti, Arturo, editor

Published
2004
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31. Quantal Phases for General Cyclic Evolution

Author

Bohm, Arno, Mostafazadeh, Ali, Koizumi, Hiroyasu, Niu, Qian, Zwanziger, Joseph, Balian, R., editor, Beiglböck, W., editor, Grosse, H., editor, Lieb, E. H., editor, Reshetikhin, N., editor, Spohn, H., editor, Thirring, W., editor, Bohm, Arno, Mostafazadeh, Ali, Koizumi, Hiroyasu, Niu, Qian, and Zwanziger, Joseph

Published
2003
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32. Universal p-form black holes in generalized theories of gravity

Author

Sigbjørn Hervik and Marcello Ortaggio

Subjects
Large class, High Energy Physics - Theory, Physics and Astronomy (miscellaneous), Scalar (mathematics), FOS: Physical sciences, lcsh:Astrophysics, General Relativity and Quantum Cosmology (gr-qc), Computer Science::Digital Libraries, General Relativity and Quantum Cosmology, Theoretical physics, fysikk, lcsh:QB460-466, Matematikk og Naturvitenskap: 400::Fysikk: 430::Astrofysikk, astronomi: 438 [VDP], lcsh:Nuclear and particle physics. Atomic energy. Radioactivity, Engineering (miscellaneous), Ansatz, Physics, Base space, Constant curvature, Spacetime geometry, Black hole, High Energy Physics - Theory (hep-th), Homogeneous, lcsh:QC770-798, svarte hull
Abstract

We explore how far one can go in constructing $d$-dimensional static black holes coupled to $p$-form and scalar fields before actually specifying the gravity and electrodynamics theory one wants to solve. At the same time, we study to what extent one can enlarge the space of black hole solutions by allowing for horizon geometries more general than spaces of constant curvature. We prove that a generalized Schwarzschild-like ansatz with an arbitrary isotropy-irreducible homogeneous base space (IHS) provides an answer to both questions, up to naturally adapting the gauge fields to the spacetime geometry. In particular, an IHS-K\"ahler base space enables one to construct magnetic and dyonic 2-form solutions in a large class of theories, including non-minimally couplings. We exemplify our results by constructing simple solutions to particular theories such as $R^2$, Gauss-Bonnet and (a sector of) Einstein-Horndeski gravity coupled to certain $p$-form and conformally invariant electrodynamics., Comment: 15 pages. v2: typos fixed, minor improvements to the text, refs. added

Published
2020

35. Spectral estimates and discreteness of spectra under Riemannian submersions

Author

Panagiotis Polymerakis

Subjects
Mathematics - Differential Geometry, Mean curvature, Spectral theory, Base space, 010102 general mathematics, Spectrum (functional analysis), Mathematical analysis, Space (mathematics), 01 natural sciences, Spectral line, Mathematics - Spectral Theory, 010101 applied mathematics, Differential Geometry (math.DG), Differential geometry, 58J50, 35P15, 53C99, Bounded function, FOS: Mathematics, Mathematics::Differential Geometry, Geometry and Topology, 0101 mathematics, Spectral Theory (math.SP), Analysis, Mathematics
Abstract

For Riemannian submersions, we establish some estimates for the spectrum of the total space in terms of the spectrum of the base space and the geometry of the fibers. In particular, for Riemannian submersions of complete manifolds with closed fibers of bounded mean curvature, we show that the spectrum of the base space is discrete if and only if the spectrum of the total space is discrete., Comment: 18 pages

Published
2020

40. The geometry of W symmetry algebras

Author

McCloud, Paul, Araki, H., editor, Brézin, E., editor, Ehlers, J., editor, Frisch, U., editor, Hepp, K., editor, Jaffe, R. L., editor, Kippenhan, R., editor, Widenmüller, H. A., editor, Wess, J., editor, Zittartz, J., editor, Beiglböck, W., editor, Aktaş, Gülen, editor, Saçlioğlu, Cihan, editor, and Serdaroğlu, Meral, editor

Published
1995
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45. Fibered Spaces

Author

Schwarz, Albert S., Artin, M., editor, Chern, S. S., editor, Coates, J., editor, Fröhlich, J. M., editor, Hironaka, H., editor, Hirzebruch, F., editor, Hörmander, L., editor, Moore, C. C., editor, Moser, J. K., editor, Nagata, M., editor, Schmidt, W., editor, Scott, D. S., editor, Sinai, Ya. G., editor, Tits, J., editor, Waldschmidt, M., editor, Watanabe, S., editor, Berger, M., editor, Eckmann, B., editor, Varadhan, S. R. S., editor, and Schwarz, Albert S.

Published
1994
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48. Some base spaces and core theorems of new type.

Author

Zararsız, Zarife, Şengöonül, Mehmet, and Kayaduman, Kuddusi

Subjects
SEQUENCE spaces, MATHEMATICS theorems
Abstract

In this paper, we constructed two new base sequence spaces, denoted rf and rf0, and we investigated some of their important properties. Then, by using matrix domains, we defined other sequence spaces on these base spaces, called zrf and zrf0. Finally, we introduced theBȒ -- core of a complex-valued sequence and we examined some inclusion theorems related to this new type of core. [ABSTRACT FROM AUTHOR]

Published
2016
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49. Visualization of Depth Maps

Author

Lemordant, Jacques, Hewitt, W. T., editor, Gnatz, R., editor, Duce, D. A., editor, Falcidieno, Bianca, editor, Herman, Ivan, editor, and Pienovi, Caterina, editor

Published
1992
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50. Parallel transport of phases

Author

Uhlmann, Armin, Araki, H., editor, Ehlers, J., editor, Hepp, K., editor, Jaffe, R. L., editor, Kippenhahn, R., editor, Ruelle, D., editor, Weidenmüller, H. A., editor, Wess, J., editor, Zittartz, J., editor, Beiglböck, W., editor, Hennig, Jö-Dieter, editor, Lücke, Wolfgang, editor, and Tolar, Jiří, editor

Published
1991
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