Natural intrinsic geometrical symmetries.
Haesen, Stefan, Verstraelen, Leopold (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Continuity, curvature, and the general covariance of optimal transportation”
Natural intrinsic geometrical symmetries.
Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity
Giovanni Calvaruso (2010)
Archivum Mathematicum
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We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.
-natural metrics of constant curvature on unit tangent sphere bundles
M. T. K. Abbassi, Giovanni Calvaruso (2012)
Archivum Mathematicum
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We completely classify Riemannian -natural metrics of constant sectional curvature on the unit tangent sphere bundle of a Riemannian manifold . Since the base manifold turns out to be necessarily two-dimensional, weaker curvature conditions are also investigated for a Riemannian -natural metric on the unit tangent sphere bundle of a Riemannian surface.
On Gauss-Bonnet curvatures.
Labbi, Mohammed-Larbi (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On the curvature of -contact Riemannian manifolds with constant -sectional curvature with a submersion of geodesic fibres.
Endo, Hiroshi (2005)
APPS. Applied Sciences
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On Weyl pseudosymmetric hypersurfaces
Kadri Arslan, Ryszard Deszcz, Şahnur Yaprak (1997)
Colloquium Mathematicae
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Relations between intrinsic and extrinsic curvatures
S. Haesen, A. Šebeković, L. Verstraelen (2003)
Kragujevac Journal of Mathematics
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Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature
Philippe G. LeFloch (2007-2008)
Séminaire de théorie spectrale et géométrie
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We review recent work on the local geometry and optimal regularity of Lorentzian manifolds with bounded curvature. Our main results provide an estimate of the injectivity radius of an observer, and a local canonical foliations by CMC (Constant Mean Curvature) hypersurfaces, together with spatially harmonic coordinates. In contrast with earlier results based on a global bound for derivatives of the curvature, our method requires only a sup-norm bound on the curvature near the given observer. ...