Results 51 to 60 of about 47,687 (176)
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.
openaire +3 more sources
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
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕ$\phi$ on the cohomology of a relatively exact Lagrangian fixed by ϕ$\phi$ is the identity. This extends results of Hu–Lalonde–Leclercq [Geom. Topol. 15 (2011), no. 3, 1617–1650] and the author [Selecta Math. (N.S.) 30 (2024), no. 2, Paper No.
Noah Porcelli
wiley +1 more source
Foliations and Chern-Heinz inequalities
, 2006 We extend the Chern-Heinz inequalities about mean curvature and scalar curvature of graphs of $C^{2}$-functions to leaves of transversally oriented codimension one $C^{2}$-foliations of Riemannian manifolds.
Cheeger +7 more
core +1 more source
Nonpositive curvature foliations on 3-manifolds with bounded total absolute curvature of leaves
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 In this paper we introduce a new class of foliations on Rie-mannian 3-manifolds, called B-foliations, generalizing the class of foliations of non-negative curvature.
Dmytry Bolotov
doaj +1 more source
Maximal symplectic torus actions
Bulletin of the London Mathematical Society, EarlyView.Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley +1 more source
Quantitative Bi-Lipschitz embeddings of bounded curvature manifolds and orbifolds
, 2017 We construct bi-Lipschitz embeddings into Euclidean space for manifolds and orbifolds of bounded diameter and curvature. The distortion and dimension of such embeddings is bounded by diameter, curvature and dimension alone.
Eriksson-Bique, Sylvester
core +1 more source
Low Dimensional Flat Manifolds with Some Elasses of Finsler Metric
پژوهشهای ریاضی, 2020 Introduction An -dimensional Riemannian manifold is said to be flat (or locally Euclidean) if locally isometric with the Euclidean space, that is, admits a covering of coordinates neighborhoods each of which is isometric with a Euclidean domain.
Sedigheh Alavi Endrajemi +1 more
doaj
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
Fat equator effect and minimality in immersions and submersions of the sphere
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley +1 more source