Results 41 to 50 of about 2,758,093 (267)
First Natural Connection on Riemannian Π-Manifolds
Mathematics, 2023 A natural connection with torsion is defined, and it is called the first natural connection on the Riemannian Π-manifold. Relations between the introduced connection and the Levi–Civita connection are obtained.
Hristo Manev
doaj +1 more source
On isometric immersions of sub-Riemannian manifolds [PDF]
arXiv, 2022 We study curvature invariants of a sub-Riemannian manifold (i.e., a manifold with a Riemannian metric on a non-holonomic distribution) related to mutual curvature of several pairwise orthogonal subspaces of the distribution, and prove geometrical inequalities for a sub-Riemannian submanifold.
arxiv
Riemannian Manifolds with Positive Sectional Curvature [PDF]
, 2014 This is a survey of recent results on manifolds with positive curvature from a series of lecture given in Guanajuato, Mexico in 2010. It also contains some hitsorical comments.
openaire +2 more sources
Black Holes have Intrinsic Scalar Curvature
Reports in Advances of Physical Sciences, 2023 The scalar curvature R is invariant under isometric symmetries (distance invariance) associated with metric spaces. Gravitational Riemannian manifolds are metric spaces.
P. D. Morley
doaj +1 more source
Curvature flows in semi-Riemannian manifolds [PDF]
Surveys in Differential Geometry, 2007 We prove that the limit hypersurfaces of converging curvature flows are stable, if the initial velocity has a weak sign, and give a survey of the existence and regularity results.
openaire +3 more sources
Fundamentals of Riemannian geometry and its evolution : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Palmerston North, New Zealand [PDF]
, 2000 In this thesis we study the theory of Riemannian manifolds: these are smooth manifolds equipped with Riemannian metrics, which allow one to measure geometric quantities such as distances and angles.
Senarath, Padma
core
Communications on Pure and Applied Mathematics, EarlyView.Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
wiley +1 more source
Biharmonic maps on V-manifolds
International Journal of Mathematics and Mathematical Sciences, 2001 We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds.
Yuan-Jen Chiang, Hongan Sun
doaj +1 more source
A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2022 We aimed to study constant mean curvature foliations of noncompact Riemannian manifolds, satisfying some geometric constraints. As a byproduct, we answer a question by M. P. do Carmo (see Introduction) about the leaves of such foliations.
S. Ilias, B. Nelli, M. Soret
doaj +1 more source
The Dirichlet problem for curvature equations in Riemannian manifolds [PDF]
Indiana University Mathematics Journal, 2013 We prove the existence of classical solutions to the Dirichlet problem for a class of fully nonlinear elliptic equations of curvature type on Riemannian manifolds. We also derive new second derivative boundary estimates which allows us to extend some of the existence theorems of Caffarelli, Nirenberg and Spruck [4] and Ivochkina, Trundinger and Lin [19]
Flavio Cruz, Jorge H. S. de Lira
openaire +3 more sources