Results 1 to 10 of about 47,687 (176)
On the total absolute curvature of manifolds immersed in Riemannian manifold [PDF]
Kodai Mathematical Journal, 1967 Willmore and Saleemi [12] had generalized Chern-Lashof s results by definingthe total curvature of an orientable manifold immersed in a Riemannian manifold,but unfortunately, the results contained mistakes, and hence they are false.The object of this paper is to generalize the Lipschitz-Killing curvature to themanifolds immersed in a complete, simply ...
Bang‐Yen Chen
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Manifolds of Riemannian metrics with prescribed scalar curvature [PDF]
Bulletin of the American Mathematical Society, 1974 THEOREM 2. Assume J * V 0 . Writing UtQ=(je a o\0 )U&9 J(\ is the disjoint union of closed submanifolds. REMARK. If d i m M = 2 , e^J=^" 8 , and if d i m M = 3 , the hypothesis that 1F*J£0 can be dropped. The proof of Theorem 1 also allows us to conclude that a solution h of the linearized equations DR(g0) • h=0 is tangent to a curve of exact solutions
Arthur E. Fischer, Jerrold E. Marsden
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On the curvatures of Riemannian manifolds [PDF]
Illinois Journal of Mathematics, 1966 J. A. Thorpe
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Complete curvature homogeneous pseudo-Riemannian manifolds [PDF]
Classical and Quantum Gravity, 2004 Update paper to fix misprints in original ...
Peter Gilkey, S Nik evi
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On an isometry of Riemannian manifolds of negative curvature [PDF]
Kodai Mathematical Journal, 1974 Ryousuke Ichida
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A CERTAIN INEQUALITY ON RIEMANNIAN MANIFOLDS OF POSITIVE CURVATURE
Memoirs of the Faculty of Science, Kyusyu University. Series A, Mathematics, 1992 The author considers an \(m\)-dimensional (\(m \geq 5\), \(m\) odd) compact, connected, non-simply connected Riemannian manifold \(M\) with sectional curvature \(K_ M \geq 1\), and an \(n\)-dimensional (\(n \geq 1\)) compact connected submanifold \(N\) embedded in \(M\).
Ryosuke Ichida
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CURVATURE AND CHARACTERISTIC CLASSES OF COMPACT RIEMANNIAN MANIFOLDS [PDF]
Journal of Differential Geometry, 2001 YUK-KEUNG CHEUNG, Chuan-Chih Hsiung
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Geometric Inequalities for a Submanifold Equipped with Distributions
Mathematics, 2022 The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
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On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
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Tensor invariants of generalized Kenmotsu manifolds [PDF]
E3S Web of Conferences, 2021 In this paper, we study the properties of generalized Kenmotsu manifolds, consider the second-order differential geometric invariants of the Riemannian curvature tensor of generalized Kenmotsu manifolds (by the symmetry properties of the Riemannian ...
Shihab Ali Abdul Al Majeed +1 more
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