Results 21 to 30 of about 897 (41)
An elementary proof of the convergence of Ricci flow on compact surfaces [PDF]
arXiv, 2007 This paper has been withdrawn by the author for further modification.
arxiv
Energy of harmonic functions and Gromov's proof of Stallings' theorem [PDF]
arXiv, 2007 We provide the details for Gromov's proof of Stallings' theorem on groups with infinitely many ends using harmonic functions. The main technical result of the paper is a compactness theorem for a certain family of harmonic functions.
arxiv
Helicoidal graphs with prescribed mean curvature [PDF]
arXiv, 2008 We prove an existence result for helicoidal graphs with prescribed mean curvature in a large class of warped product spaces which comprises space forms.
arxiv
On p-harmonic self-maps of spheres. [PDF]
Calc Var Partial Differ Equ, 2023 Branding V, Siffert A.
europepmc +1 more source
On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps. [PDF]
J Geom Anal, 2021 Branding V.
europepmc +1 more source
Harmonic morphisms on conformally flat 3-spheres [PDF]
Bull. Lond. Math. Soc. 43 (2011), 2009 We show that under some non-degeneracy assumption the only submersive harmonic morphism on a conformally flat $3-$sphere is the Hopf fibration. The proof involves an appropriate use the Chern-Simons functional.
arxiv
Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]
Ann Mat Pura Appl, 2023 Branding V +3 more
europepmc +1 more source
Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics [PDF]
arXiv, 2009 We investigate horizontal conformality of a differential of a map between Riemannian manifolds where the tangent bundles are equipped with Cheeger--Gromoll type metrics. As a corollary, we characterize the differential of a map as a harmonic morphism.
arxiv
Biharmonic Riemannian maps [PDF]
arXiv, 2010 We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the base manifolds.
arxiv
Vertical martingales, stochastic calculus and harmonic sections [PDF]
arXiv, 2011 This work is about a new class of martingales: the vertical martingales. We construct the vertical martingale for smooth submersions and we develop a stochastic calculus for one. Furthermore, we gives a stochastic characterization for harmonic sections.
arxiv