Results 1 to 10 of about 2,758,093 (267)
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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Sectional curvature for Riemannian manifolds with density [PDF]
Geometriae Dedicata, 2015 19 pages, The expositiion of the paper has been shortened by a few pages and some of the arguments streamlined at the suggestion of the referee.
Wylie, William
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Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]
HeliyonThis paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman +3 more
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On the curvatures of Riemannian manifolds [PDF]
Illinois Journal of Mathematics, 1966 J. A. Thorpe
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On Slant Riemannian Submersions For Cosymplectic Manifolds [PDF]
arXiv, 2013 In this paper we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifolds. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions according to characteristic ...
Erken, İrem Küpeli +1 more
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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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The global geometry of Riemannian manifolds with commuting curvature operators
, 2006 We give manifolds in both the Riemannian and in the higher signature settings whose Riemann curvature operators commute, i.e. which satisfy R(a,b)R(c,d)=R(c,d)R(a,b) for all tangent vectors. These manifolds have global geometric phenomena which are quite
Miguel Brozos‐Vázquez, Peter Gilkey
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On an isometry of Riemannian manifolds of negative curvature [PDF]
Kodai Mathematical Journal, 1974 Ryousuke 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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