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Your search keyword '"Gil Solanes"' showing total 3 results
Start Over Author "Gil Solanes" Topic constant curvature Topic mathematical analysis
3 results on '"Gil Solanes"'

1. Width of convex bodies in spaces of constant curvature

Author

Agustí Reventós, Eduardo Gallego, Eberhard Teufel, and Gil Solanes

Subjects
Convex analysis, Constant curvature, General Mathematics, Mathematical analysis, Convex set, Convex body, Curvature, Measure (mathematics), Surface of constant width, Curve of constant width, Mathematics
Abstract

We consider the measure of points, the measure of lines and the measure of planes intersecting a given convex body K in a space form. We obtain some integral formulas involving the width of K and the curvature of its boundary ∂K. Also we study the special case of constant width. Moreover we obtain a generalisation of the Heintze–Karcher inequality to space forms.

Published
2008

2. Integral geometry in constant curvature Lorentz spaces

Author

Eberhard Teufel and Gil Solanes

Subjects
Physics::General Physics, General Mathematics, Hyperbolic space, Mathematical analysis, Lorentz covariance, Physics::Classical Physics, Space (mathematics), Curvature, Velocity-addition formula, Constant curvature, Lorentz factor, symbols.namesake, symbols, Mathematics::Metric Geometry, Interpolation space, Mathematics
Abstract

We extend classical Cauchy formulas and Crofton formulas to the Lorentz-Minkowski space, and to constant curvature Lorentz spaces.

Published
2005

3. Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

Author

Gil Solanes

Subjects
Applied Mathematics, General Mathematics, Mathematical analysis, Curvature, Constant curvature, symbols.namesake, Gauss–Bonnet theorem, Fundamental theorem of curves, Gaussian curvature, symbols, Total curvature, Mathematics::Differential Geometry, Sectional curvature, Mathematics, Scalar curvature
Abstract

We give an integral-geometric proof of the Gauss-Bonnet theorem for hypersurfaces in constant curvature spaces. As a tool, we obtain variation formulas in integral geometry with interest in its own.

Published
2005

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