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 “Variational problems for riemannian functionals and arithmetic groups”
Rigidity in non-negative curvature
On the structure of Riemannian manifolds of almost nonnegative Ricci curvature.
Yun, Gabjin (2004)
International Journal of Mathematics and Mathematical Sciences
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Curvature and homology of Riemannian manifolds with boundary.
Chuan-Chih Hsiung (1963)
Mathematische Zeitschrift
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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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Convergence of riemannian manifolds with integral bounds on curvature. I
Deane Yang (1992)
Annales scientifiques de l'École Normale Supérieure
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Dirac and Plateau billiards in domains with corners
Misha Gromov (2014)
Open Mathematics
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Groping our way toward a theory of singular spaces with positive scalar curvatures we look at the Dirac operator and a generalized Plateau problem in Riemannian manifolds with corners. Using these, we prove that the set of C 2-smooth Riemannian metrics g on a smooth manifold X, such that scalg(x) ≥ κ(x), is closed under C 0-limits of Riemannian metrics for all continuous functions κ on X. Apart from that our progress is limited but we formulate many conjectures. All along, we emphasize...
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.