Rigidity in non-negative curvature
Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “The first eigenvalue of the laplacian on manifolds of non-negative curvature”
Rigidity in non-negative curvature
A note on the volume of balls on Riemannian manifolds of non-negative curvature
Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
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De Lellis-Topping type inequalities for f-Laplacians
Guangyue Huang, Fanqi Zeng (2016)
Studia Mathematica
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We establish an integral geometric inequality on a closed Riemannian manifold with ∞-Bakry-Émery Ricci curvature bounded from below. We also obtain similar inequalities for Riemannian manifolds with totally geodesic boundary. In particular, our results generalize those of Wu (2014) for the ∞-Bakry-Émery Ricci curvature.
Riemannian manifolds in which certain curvature operator has constant eigenvalues along each helix
Yana Alexieva, Stefan Ivanov (1999)
Archivum Mathematicum
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Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures , which are not locally homogeneous, in general.
A metric characterization of manifolds with boundary
Conrad Plaut (1992)
Compositio Mathematica
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Convergence of riemannian manifolds with integral bounds on curvature. I
Deane Yang (1992)
Annales scientifiques de l'École Normale Supérieure
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pinching and compactness theorems for compact riemannian manifolds
Deane Yang (1987-1988)
Séminaire de théorie spectrale et géométrie
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