Results 171 to 176 of about 47,687 (176)

Scalar curvature and volume of a Riemannian manifold

Geometriae Dedicata, 1995
The author studies the relation between the concepts of volume and of scalar curvature of the Riemannian manifold from the viewpoint of contracting maps. Recall that a map \(f: M\to N\) between Riemannian manifolds of the same dimension \(n\) is said to be \(\varepsilon\)- contracting (on the tangent vectors) if there exists a constant \(\varepsilon>0\)
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Curvature tensors in riemannian manifold—II

Proceedings of the Indian Academy of Sciences - Section A, 1974
In a recent paper author and Mishra [1] have studied the recurrent properties of conformal curvature tensor, conharmonic curvature tensor, concircular curvature tensor and projective curvature tensor in a Riemannian manifold. In another paper author and Mishra [2] have defined a new curvature tensor and obtained its relativistic significance.
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Evolution of hypersurfaces by their curvature in Riemannian manifolds

1998
The paper investigates some recent developments in the study of the motion of hypersurfaces in Riemannian manifolds when the normal speed is a monotonic function of the principal curvatures such that the evolution equation is a nonlinear parabolic PDE. In particular, the focus is on the mean curvature flow and, respectively, the inverse mean curvature ...
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Riemannian Manifolds of Positive Curvature

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011
Richard Schoen, Simon Brendle
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Riemannian manifolds with harmonic curvature

Colloquium Mathematicum, 2016
Bingqing Ma, Guangyue Huang
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Riemannian manifolds with harmonic curvature

1985
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