2010Journal of applied mathematics & informaticsRequires access

GRADIENT ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP ON NONCOMPACT MANIFOLDS y

Hyun Jung Kim

Open publisher page 0 citations

Abstract

aSuppose that (M, g) is a complete Riemannian manifold with Ricci curvature bounded below by -K ) is a complete Riemannian manifold with sectional curvature bounded above by a constant > 0. Let u : is a heat equation for harmonic map. We estimate the energy density of u.

About this research paper

What this paper is about

aSuppose that (M, g) is a complete Riemannian manifold with Ricci curvature bounded below by -K ) is a complete Riemannian manifold with sectional curvature bounded above by a constant > 0. Let u : is a heat equation for harmonic map. We estimate the energy density of u.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

aSuppose that (M, g) is a complete Riemannian manifold with Ricci curvature bounded below by -K ) is a complete Riemannian manifold with sectional curvature bounded above by a constant > 0. Let u : is a heat equation for harmonic map. We estimate the energy density of u.

Key concepts: Mathematics, Ricci curvature, Sectional curvature, Harmonic map, Bounded function, Riemannian manifold, Manifold (fluid mechanics), Heat equation

Related papers

Back to paper searchBrowse research topicsOriginal source
GRADIENT ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP ON NONCOMPACT MANIFOLDS y — Research Paper | ScholarLens