Results 1 to 10 of about 28,093 (313)
Moments of Sectional Curvature
, 2017 The sectional curvature of a compact Riemannian manifold M can be seen as a random variable on the Grassmann bundle of 2-planes in TM endowed with the Fubini-Study volume density. In this article we calculate the moments of this random variable by integrating suitable local Riemannian invariants and discuss the distribution of the sectional curvature ...
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Generalized pseudo Ricci symmetric manifolds with semi-symmetric metric connection
Kuwait Journal of Science, 2014 In this paper, firstly an example of a manifold with almost constant curvature and nearly quasi constant curvature which is neither quasi Einstein nor nearly quasi Einstein is given.
SEZGIN ALTAY DEMIRBAG
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Curvature and topology dependency of the cosmological spectra
Results in Physics, 2019 In this article we investigate dependency of two important cosmological random fields defined on spatial slices of the FLRW universe and their spectra on the geometry and topology of the background universe.
Ali A. Asgari +2 more
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Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space
Kuwait Journal of Science, 2014 In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are calculated and in these regards ...
MAHMUT AKYIG١IT +2 more
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A basic inequality for submanifolds in a cosymplectic space form
International Journal of Mathematics and Mathematical Sciences, 2003 For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main ...
Jeong-Sik Kim, Jaedong Choi
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A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
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Sectional Curvature of Connections with Vectorial Torsion
Russian Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klepikov, P. N. +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2015 In this paper, we consider a generalization of almost Kenmotsu f-manifolds. We get basic Riemannian curvature, sectional curvatures and scalar curvature properties such type manifolds. Finally, we give two examples to clarify some our results.
Y.S. Balkan, N. Aktan
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The Cross Curvature Flow of 3-manifolds with Negative Sectional Curvature
, 2003 We introduce a geometric evolution equation for 3-manifolds with sectional curvature of one sign which is in some sense dual to the Ricci flow. On a closed 3-manifold with negative sectional curvature, we establish short time existence and a pair of monotonicity formulas for solutions to the flow. One of these formulas shows that, provided the solution
Chow, Bennett, Hamilton, Richard S.
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On Complete Hypersurfaces of Nonnegative Sectional Curvatures and Constant mth Mean Curvatures [PDF]
Transactions of the American Mathematical Society, 1978 The main result is that if M = M n M = {M^n} is a complete Riemann manifold of nonnegative sectional curvature and X : M → R n + 1
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