The Dirichlet problem for harmonic maps between Damek-Ricci spaces

被引：4

作者：

Ueno, K ^{[1
]}

机构：

[1] Yamagata Univ, Fac Sci, Inst Math Sci, Yamagata 990, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 1997年 / 49卷 / 04期

关键词：

D O I：

10.2748/tmj/1178225062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Damek-Ricci space has nonpositive curvature. Thus we can consider the Eberlein-O'Neill compactifications adding the sphere at infinity. In this paper, we prove the existence and uniqueness of a solution to the Dirichlet problem at infinity for harmonic maps between Damek-Ricci spaces.

引用

页码：565 / 575

页数：11

共 17 条

[1] HARMONIC DIFFEOMORPHISMS OF THE HYPERBOLIC PLANE [J].

AKUTAGAWA, K .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 342 (01) :325-342

[2]

BERNDT J, 1995, LECT NOTES MATH, V1598

[3]

BOGGINO J, 1995, REND SEM MAT U POLIT, V43, P529

[4] H-TYPE GROUPS AND IWASAWA DECOMPOSITIONS [J].

COWLING, M ;

DOOLEY, AH ;

KORANYI, A ;

RICCI, F .

ADVANCES IN MATHEMATICS, 1991, 87 (01) :1-41

[5] A CLASS OF NONSYMMETRIC HARMONIC RIEMANNIAN SPACES [J].

DAMEK, E ;

RICCI, F .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :139-142

[6]

DAMEK E, 1992, J GEOM ANAL, V0002, P00213, DOI DOI 10.1007/BF02921294

[7]

DAMEK E, 1987, C MATH, V53, P255

[8]

DAMEK E, 1987, COLLOQ MATH, V53, P249

[9] DIRICHLET PROBLEM AT INFINITY FOR HARMONIC MAPS - RANK-ONE SYMMETRICAL SPACES [J].

DONNELLY, H .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 344 (02) :713-735

[10]

DOTTI I, IN PRESS P AM MATH S

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