Results 21 to 30 of about 1,568,392 (257)

On the differentiable sphere theorem for manifolds with Ricci curvatures bounded from above

Дифференциальная геометрия многообразий фигур
In the present paper, we prove that if is an -dimensional compact Riemannian manifold and if where , and are the sectional and Ricci curvatures of respectively, then is diffeomorphic to a spherical space form where is a finite group of ...
S. E. Stepanov, I. I. Tsyganok
doaj   +1 more source

Mean curvature flow with triple junctions in higher space dimensions [PDF]

, 2012
We consider mean curvature ow of n-dimensional surface clusters. At (
Garcke, Harald, Depner, Daniel, Kohsaka, Yoshihito   +2 more
core   +1 more source

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

On Lorentzian spaces of constant sectional curvature

, 2018
We investigate Osserman-like conditions for Lorentzian curvature tensors that imply constant sectional curvature. It is known that Osserman (moreover zwei-stein) Lorentzian manifolds have constant sectional curvature.
Vladica Andrejic
core   +1 more source

The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

Entropy, 2020
We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds.
Adela Mihai, Ion Mihai
doaj   +1 more source

SECTIONAL CURVATURE OF STATISTICAL STRUCTURES ON TANGENT BUNDLES [PDF]

We study the relationship between the statistical sectional curvature of statistical manifolds and the prolongation of these structures to their tangent bundles.
Mohammadi, Sadegh, Heydari, Abbas
core   +1 more source

A conclusive theorem on Finsler metrics of sectional flag curvature

, 2018
If the flag curvature of a Finsler manifold reduces to sectional curvature, then locally either the Finsler metric is Riemannian, or the flag curvature is ...
Huang, Libing, Shen, Zhongmin
core   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

FEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure, Misaki K. Nishio, Satoru Okuda, Kohji Hotta   +3 more
wiley   +1 more source

Informational Holonomy Curvature and Its Discrete-to-Continuous Convergence

International Journal of Topology
We introduce a notion of curvature based on informational holonomy. Let (M,g) be a smooth Riemannian manifold and let π:P→M be a bundle of state spaces equipped fibrewise with a smooth divergence Dx inducing an information metric gPx.
David Gutierrez Ule
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, Florence Nicol, Stéphane Puechmorel   +2 more
doaj   +1 more source