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A class of nonsymmetric harmonic Riemannian spaces
Author(s):
Ewa
Damek;
Fulvio
Ricci
Journal:
Bull. Amer. Math. Soc.
27
(1992),
139-142.
MSC (1991):
Primary 53C25, 53C30, 43A85, 22E25, 22E30
MathSciNet review:
1142682
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Additional information
References:
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- A. L. Besse, Manifolds all of whose geodesics are closed, Springer, Berlin, 1978. MR 496885
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- M. Cowling, A. H. Dooley, A. Kor\'anyi, and F. Ricci, H-type groups and Iwasawa decompositions, Adv. Math. \textbf{87} (1991), 1--41. MR 1102963
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- M. Cowling, A. H. Dooley, A. Kor\'anyi, and F. Ricci. MR
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- E. Damek, Curvature of a semidirect extension of a Heisenberg type nilpotent group, Colloq. Math. \textbf{53} (1987), 249--253. MR 924069
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- E. Damek and F. Ricci, Harmonic analysis on solvable extensions of H-type groups, {\rm J. Geom. Anal.}. MR 1164603
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- A. Kaplan, Fundamental solutions for a class of hypoelliptic PDE generated by compositions of quadratic forms, Trans. Amer. Math. Soc. \textbf{258} (1980), 147--153. MR 554324
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- [10]
- A. Lichnerowicz, Sur les espaces Riemanniens compl\`etement harmoniques, Bull. Soc. Math. France \textbf{72} (1944), 146--168. MR 12886
- [11]
- Z. Szab\'o, The Lichnerowicz conjecture on harmonic manifolds, J. Differential Geom. \textbf{31} (1990), 1--28. MR 1030663
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00293-8
PII:
S 0273-0979(1992)00293-8
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