Curvature properties of certain compact pseudosymmetric manifolds
Ryszard Deszcz (1993)
Colloquium Mathematicae
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Displaying similar documents to “Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature”
Curvature properties of certain compact pseudosymmetric manifolds
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Colloquium Mathematicae
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Kowalski, Oldřich, Sekizawa, Masami (2002)
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Conformally bending three-manifolds with boundary
Matthew Gursky, Jeffrey Streets, Micah Warren (2010)
Annales de l’institut Fourier
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Given a three-dimensional manifold with boundary, the Cartan-Hadamard theorem implies that there are obstructions to filling the interior of the manifold with a complete metric of negative curvature. In this paper, we show that any three-dimensional manifold with boundary can be filled conformally with a complete metric satisfying a pinching condition: given any small constant, the ratio of the largest sectional curvature to (the absolute value of) the scalar curvature is less than this...
On pseudosymmetric para-Kähler manifolds
Filip Defever, Leopold Verstraelen, Ryszard Deszcz (1998)
Colloquium Mathematicae
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