Holonomy and projective equivalence in 4-dimensional Lorentz manifolds.
Hall, Graham S., Lonie, David P. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature”
Holonomy and projective equivalence in 4-dimensional Lorentz manifolds.
Some curvature conditions of the type on the submanifolds satisfying Chen's equality.
Petrović-Torgašev, Miroslava, Hinić, Ana (2007)
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Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes.
Liu, Ximin, Yang, Biaogui (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Hypersurfaces with constant scalar or mean curvature in a unit sphere.
Shu, Shichang, Han, Annie Yi (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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The Gauss map of Hessian manifolds in spaces of constant Hessian sectional curvature via Kozsul forms.
Yilmaz, Münevver Yildirim, Bektaş, Mehmet (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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-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.
Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
Fuquan Fang, Xiang-Dong Li, Zhenlei Zhang (2009)
Annales de l’institut Fourier
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In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-Émery Ricci curavture on complete Riemannian manifolds.