Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature
Toshihiko Ikawa, Masahiro Kon (1977)
Colloquium Mathematicae
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Displaying similar documents to “Compact manifolds of nonnegative isotropic curvature and pure curvature tensor.”
Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature
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Studiamo la topologia differenziale e la geometria delle superfici compatte con curvatura normale non-nulla in spazio della curvatura costante.
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Curvature tensors in dimension four which do not belong to any curvature homogeneous space
Oldřich Kowalski, Friedbert Prüfer (1994)
Archivum Mathematicum
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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
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Volume comparison theorems for manifolds with radial curvature bounded
Jing Mao (2016)
Czechoslovak Mathematical Journal
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In this paper, for complete Riemannian manifolds with radial Ricci or sectional curvature bounded from below or above, respectively, with respect to some point, we prove several volume comparison theorems, which can be seen as extensions of already existing results. In fact, under this radial curvature assumption, the model space is the spherically symmetric manifold, which is also called the generalized space form, determined by the bound of the radial curvature, and moreover, volume...