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
Kulkarni, R.S. (1978)
International Journal of Mathematics and Mathematical Sciences
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