Heat Flows of Subelliptic Harmonic Maps into Riemannian Manifolds with Nonpositive Curvatures

被引：0

作者：

Zhen-Rong Zhou

机构：

[1] Central China Normal University,Department of Mathematics

来源：

Journal of Geometric Analysis | 2013年 / 23卷

关键词：

Subelliptic harmonic map; Heat flow; Sub-Riemannian geometry; 58E20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we discuss the heat flows of subelliptic harmonic maps into Riemannian manifolds with nonpositive curvatures, and prove the homotopic existence which is a generalization of the Eells–Sampson theorem.

引用

页码：471 / 489

页数：18

共 10 条

[1]

Eells J.(1964)Harmonic mappings of Riemannian manifolds Am. J. Math. 85 109-160

[2]

Sampson J.(1998)Subelliptic p-harmonic maps into spheres and the ghost of Hardy spaces Math. Ann. 312 341-362

[3]

Hajlasz P.(1998)Subelliptic harmonic maps Trans. Am. Math. Soc. 350 4633-4649

[4]

Strzelecki P.(1984)Fundamental solutions and geometry of the sum of squares of vector fields Invent. Math. 78 142-160

[5]

Jost J.(1986)Sub-Riemannian geometry J. Differ. Geom. 24 221-263

[6]

Xu C.J.(2003)Subelliptic harmonic maps from Carnot groups Calc. Var. 18 95-115

[7]

Sanchez-Calle A.(1999)Uniqueness of subelliptic harmonic maps Ann. Glob. Anal. Geom. 17 581-594

[8]

Strichartz R.S.(undefined)undefined undefined undefined undefined-undefined

[9]

Wang C.(undefined)undefined undefined undefined undefined-undefined

[10]

Zhou Z.R.(undefined)undefined undefined undefined undefined-undefined

← 1 →