Results 51 to 60 of about 1,771,776 (376)
Manifolds with 1/4-pinched flag curvature [PDF]
, 2009 We say that a nonnegatively curved manifold $(M,g)$ has quarter pinched flag curvature if for any two planes which intersect in a line the ratio of their sectional curvature is bounded above by 4.
A. Petrunin +24 more
core +6 more sources
Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
Mathematics, 2018 We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
doaj +1 more source
Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature [PDF]
Communications in analysis and geometry, 2016 We exhibit the first examples of closed 4-manifolds with nonnegative sectional curvature that lose this property when evolved via Ricci flow.
R. G. Bettiol, Anusha M. Krishnan
semanticscholar +1 more source
On the Sectional Curvature Along Central Configurations [PDF]
Regular and Chaotic Dynamics, 2018 14 pages, 4 ...
Connor Jackman, Josué Meléndez
openaire +4 more sources
On the quaternion projective space
Journal of Taibah University for Science, 2020 Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar +4 more
doaj +1 more source
Curvature Identities for Generalized Kenmotsu Manifolds [PDF]
E3S Web of Conferences, 2021 In the present paper we obtained 2 identities, which are satisfied by Riemann curvature tensor of generalized Kenmotsu manifolds. There was obtained an analytic expression for third structure tensor or tensor of f-holomorphic sectional curvature of GK ...
Ahmad Abu-Saleem +2 more
doaj +1 more source
Four-manifolds of pinched sectional curvature
Pacific Journal of Mathematics, 2022 In this paper, we study closed four-dimensional manifolds. In particular, we show that under various new pinching curvature conditions (for example, the sectional curvature is no more than 5/6 of the smallest Ricci eigenvalue) then the manifold is definite.
Cao, Xiaodong, Tran, Hung
openaire +2 more sources
Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds
Advances in Mathematical Physics, 2012 We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold.
Sangeet Kumar +2 more
doaj +1 more source
The Geometry of the Generalized Gamma Manifold and an Application to Medical Imaging
Mathematics, 2019 The Fisher information metric provides a smooth family of probability measures with a Riemannian manifold structure, which is an object in information geometry.
Sana Rebbah +2 more
doaj +1 more source
The Chern Sectional Curvature of a Hermitian Manifold [PDF]
arXiv, 2022 On a Hermitian manifold, the Chern connection can induce a metric connection on the background Riemannian manifold. We call the sectional curvature of the metric connection induced by the Chern connection the Chern sectional curvature of this Hermitian manifold.
arxiv