A CLASS OF NONSYMMETRIC HARMONIC RIEMANNIAN SPACES

被引：126

作者：

DAMEK, E ^{[1
]}

RICCI, F ^{[1
]}

机构：

[1] POLITECN TORINO, DIPARTIMENTO MATEMAT, I-10129 TURIN, ITALY

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 27卷 / 01期

关键词：

D O I：

10.1090/S0273-0979-1992-00293-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Certain solvable extensions of H-type groups provide noncompact counterexamples to a conjecture of Lichnerowicz, which asserted that "harmonic" Riemannian spaces must be rank 1 symmetric spaces.

引用

页码：139 / 142

页数：4

共 10 条

[1]

BESSE AL, 1978, MANIFOLDS ALL WHOSE

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

COWLING, M ;

DOOLEY, AH ;

KORANYI, A ;

RICCI, F .

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

[3]

COWLING M, IN PRESS H TYPE GROU

[4]

DAMEK E, IN PRESS J GEOM ANAL

[5]

DAMEK E., 1987, COLLOQ MATH-WARSAW, V53, P255

[6]

Damek E., 1987, COLLOQ MATH-WARSAW, V53, P249

[7] GEOMETRIC-PROPERTIES OF HEISENBERG-TYPE GROUPS [J].

KORANYI, A .

ADVANCES IN MATHEMATICS, 1985, 56 (01) :28-38

[8]

Lichnerowicz A., 1944, B SOC MATH FR, V72, P146, DOI [10.24033/bsmf.1359, DOI 10.24033/BSMF.1359]

[9]

SZABO ZI, 1990, J DIFFER GEOM, V31, P1

[10]

[No title captured]

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