On generalized curvature tensors on some Riemannian manifolds
W. Roter (1977)
Colloquium Mathematicae
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W. Roter (1977)
Colloquium Mathematicae
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Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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Udo Simon (1974)
Colloquium Mathematicae
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Deane Yang (1987-1988)
Séminaire de théorie spectrale et géométrie
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Nicolescu, Liviu, Pripoae, Gabriel (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Zhongmin Shen (1992)
Mathematische Zeitschrift
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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.
Najoua Gamara, Abdelhalim Hasnaoui, Akrem Makni (2015)
Open Mathematics
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In this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains