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Your search keyword '"Rezaii, Morteza Mirmohammad"' showing total 14 results
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14 results on '"Rezaii, Morteza Mirmohammad"'

2. 3D-Algorithms of Composed Pursuit Navigation

Author

Attarchi, Hassan, Bidabad, Behroz, and Rezaii, Morteza MirMohammad

Subjects
Mathematics - Differential Geometry
Abstract

The problem of pursuing a moving target is always one of the main topics in navigation. In the literatures, there are two well-known algorithms called Pure Pursuit and Pure Rendezvous navigation in the 3-dimensional space $\mathbb{R}^3$. In this paper, these two methods are combined to introduce a novel family of pursuing algorithms called Composed Pursuit Navigation. The Kinematic and geometric properties of this navigation is studied. The trajectories of this new family of algorithms benefit the advantages of two known methods and its prominence is demonstrated in two real examples. Moreover, it is shown that the metric related to the algorithms are given by Matsumoto metrics., Comment: This paper has been withdrawn by the author duo to some policies

Published
2012

3. Contact Structure on the Indicatrix Bundle of Finslerian Warped Product Manifolds

Author

Attarchi, Hassan and Rezaii, Morteza Mirmohammad

Subjects
Mathematics - Metric Geometry
Abstract

In this paper, a comprehensive study of contact and Sasakian structures on the indicatrix bundle of Finslerian warped product manifolds is reconstructed. In addition, the Kahler structure on the tangent bundle of these manifolds is studied for some different metrics. Throughout the paper, the contact structure of indicatrix bundle in warped product Finsler manifolds is presented. It is shown that indicatrix bundle cannot be a Sasakian manifold., Comment: 15 pages

Published
2011

4. Stability of Sacks-Uhlenbeck Biharmonic Maps.

Author

Torbaghan, Mehdi Kazemi and Rezaii, Morteza Mirmohammad

Subjects
HARMONIC maps, STABILITY theory, MATHEMATICAL formulas, CALCULUS of variations, MATHEMATICAL mappings
Abstract

In this paper, the first and second variation formulas of the Sacks-Uhlenbeck bienergy functional is obtained. As an application, instability and non-existence theorems for Sacks-Uhlenbeck biharmonic maps are given. [ABSTRACT FROM AUTHOR]

Published
2022

7. Invariant structures and gauge transformation of almost contact metric manifolds

Author

REZAII, MORTEZA MIRMOHAMMAD and ZANDI, MEHRNOOSH

Subjects
Mathematics::Differential Geometry, Mathematics::Symplectic Geometry, Gauge transformation,cosymplectic manifold,almost contact 3-structure,3-Sasakian manifold,3-cosymplec- tic manifold,slant submanifold
Abstract

In this paper, conditions for K-contact, Sasakian, and cosymplectic structures to be invariant under gauge transformation are found. Moreover, the same question is studied for 3-Sasakian, 3-almost contact, and 3-cosymplectic manifolds. Finally, it is shown that a slant submanifold of an almost contact metric manifold is invariant by gauge transformation.

Published
2016

12. F-Harmonic Maps between Doubly Warped Product Manifolds.

Author

Torbaghan, Seyed Mehdi Kazemi and Rezaii, Morteza Mirmohammad

Subjects
*HARMONIC maps, *MATHEMATICAL mappings, *MANIFOLDS (Mathematics), *RIEMANNIAN manifolds, *EULER-Lagrange equations
Abstract

In this paper, some properties of F-harmonic and conformal F-harmonic maps between doubly warped product manifolds are studied and new examples of non-harmonic F-harmonic maps are constructed. [ABSTRACT FROM AUTHOR]

Published
2017
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13. f-HARMONIC MAPS FROM FINSLER MANIFOLDS.

Author

KAZEMI TORBAGHAN, SEYED MEHDI and REZAII, MORTEZA MIRMOHAMMAD

Subjects
*HARMONIC maps, *CARTOGRAPHY, *SPHERES, *MANIFOLDS (Mathematics), *GEOMETRY
Abstract

In this paper, the first and second variation formulas of the f-energy functional for a smooth map from a Finsler manifold to a Riemannian manifold are obtained. As an application, it is proved that there exists no non-constant stable f-harmonic map from a Finsler manifold to the standard unit sphere Sn(n > 2). [ABSTRACT FROM AUTHOR]

Published
2017

14. On the conformal scalar curvature equations on Finsler manifolds.

Author

Shojaee, Neda and Rezaii, Morteza MirMohammad

Subjects
*FINSLER spaces, *CONFORMAL geometry, *DEFORMATION of surfaces, *MANIFOLDS (Mathematics), *CURVATURE
Abstract

In this paper, we study conformal deformations and C-conformal deformations of Riccidirectional and second type scalar curvatures on Finsler manifolds. Then we introduce the best equation to study the Yamabe problem on Finsler manifolds. Finally, we restrict conformal deformations of metrics to C-conformal deformations and derive the Yamabe functional and the Yamabe flow in Finsler geometry. [ABSTRACT FROM AUTHOR]

Published
2017
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