Results 161 to 170 of about 47,687 (176)
The length of curvature tensor for Riemannian manifold with parallel Ricci curvature tensor
Zhang Jian-feng
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A Classification of Riemannian manifolds of quasi-constant sectional curvatures
Georgi Ganchev, Vesselka Mihova
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Biminimal properly immersed submanifolds in complete Riemannian manifolds of non-positive curvature
Shun Maeta
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Curvature Properties of Two Naveira Classes of Riemannian Product Manifolds
Dobrinka Gribacheva
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Some properties of the curvature operator of a Riemannian manifold
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On the spectrum of a Riemannian manifold of positive constant curvature
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Riemannian Hypersurfaces with Constant Scalar Curvature In a Hessian Manifolds of Constant Curvature
Münevver Yıldırım Yılmaz+2 more
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Curvature in Riemannian Manifolds
2020Since the notion of curvature can be defined for curves and surfaces, it is natural to wonder whether it can be generalized to manifolds of dimension n ≥ 3. Such a generalization does exist and was first proposed by Riemann. However, Riemann’s seminal paper published in 1868 two years after his death only introduced the sectional curvature, and did not
Jean Gallier, Jocelyn Quaintance
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On Gaussian and Geodesic Curvature of Riemannian Manifolds
Canadian Journal of Mathematics, 1974In [1], S. S. Chern gave a very elegant and simple proof of the Gauss-Bonnet formula for closed (i.e. compact without boundary) oriented Riemannian manifolds of even dimension:Here, c is a suitable constant depending on the dimension of M and Ω is an n-form (n = dim M) which may be calculated from its curvature tensor. W.
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