TITLE

Multiple closed geodesics on Riemannian 3-spheres

AUTHOR(S)
Yiming Long; Wei Wang
PUB. DATE
October 2007
SOURCE
Calculus of Variations & Partial Differential Equations;Oct2007, Vol. 30 Issue 2, p183
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
In this paper, we prove that for every Riemannian Q-homological 3-sphere ( M, g) with injectivity radius $$inj(M)\ge \pi$$ and the sectional curvature K satisfying $${\frac{1}{16} < K \le 1}$$ there exist at least two geometrically distinct closed geodesics.
ACCESSION #
25524450

Related Articles

• Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary. Qinian Jin; Aobing Li; YanYan Li // Calculus of Variations & Partial Differential Equations;Apr2007, Vol. 28 Issue 4, p509

In this paper we consider a fully nonlinear version of the Yamabe problem on compact Riemannian manifold with boundary. Under various conditions we derive local estimates for solutions and establish some existence results.

• Kahler-Einstein structures of general natural lifted type on the cotangent bundles. Simona-Luiza Druţă // Balkan Journal of Geometry & Its Applications;2009, Vol. 14 Issue 1, p30

We study the conditions under which the cotangent bundle T*M of a Riemannian manifold (M; g), endowed with a KÃ¤hlerian structure (G; J) of general natural lift type (see [4]), is Einstein. We first obtain a general natural KÃ¤hler-Einstein structure on the cotangent bundle T*M. In this...

• Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds. Li Chen; Wenyi Chen // Annals of Global Analysis & Geometry;Jun2009, Vol. 35 Issue 4, p397

In this paper, we derive a local gradient estimate for the positive solution to the following parabolic equation , where a, b are real constants, M is a complete noncompact Riemannian manifold. As a corollary, we give a local gradient estimate for the corresponding elliptic equation: , which...

• Renormdynamics, negative binomial distribution, and Riemann zeta function. Makhaldiani, N. // Physics of Atomic Nuclei;Jul2012, Vol. 75 Issue 7, p899

Renormdynamic equations of motion and their solutions are given. New equation for negative binomial distribution and Riemann zeta function invented.

• Blow-up examples for the Yamabe problem. Marques, Fernando C. // Calculus of Variations & Partial Differential Equations;Nov2009, Vol. 36 Issue 3, p377

It has been conjectured that if solutions to the Yamabe PDE on a smooth Riemannian manifold ( M n, g) blow-up at a point $${p \in M}$$ , then all derivatives of the Weyl tensor W g of g, of order less than or equal to $${[\frac{n-6}{2}]}$$ , vanish at $${p \in M}$$ . In this paper, we will...

• A characterization of quaternionic projective space by the conformal-Killing equation. David, Liana; Pontecorvo, Massimiliano // Journal of the London Mathematical Society;Oct2009, Vol. 80 Issue 2, p326

We prove that any compact, quaternionic-KÃ¤hler manifold of dimension 4n â‰¥ 8 admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-KÃ¤hler structure.

• A Condition for Warped Product Semi-Invariant Submanifolds to be Riemannian Product Semi-Invariant Submanifolds in Locally Riemannian Product Manifolds. At�eken, Mehmet // Turkish Journal of Mathematics;2008, Vol. 32 Issue 3, p349

In this article, we give a necessary and sufficient condition for warped product semi-invariant submanifolds to be Riemannian product semi-invariant submanifolds in a locally Riemannian product manifold whose factor manifolds are real space form.

• Minimal lightlike hypersurfaces in R42 with integrable screen distribution. Sakaki, Makoto // Balkan Journal of Geometry & Its Applications;2009, Vol. 14 Issue 1, p84

We give the necessary and sufficient condition for a lightlike hypersurface in R42 with integrable screen distribution to be minimal. Using the condition we can get many minimal lightlike hypersurfaces in R42 which are not totally geodesic.

• On constant isotropic submanifold by generalized null cubic. Onat, Leyla // Differential Geometry--Dynamical Systems;2008, p249

In this paper we shall be concerned with curves in an Lorentzian submanifold M1, and give a characterization of each constant isotropic immersion by generalized null cubic with constant curvature on the Lorentzian submanifold.

Share

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sign out of this library