On a new family of homogeneous Einstein manifolds

Eugene D. Rodionov

Archivum Mathematicum (1992)

  • Volume: 028, Issue: 3-4, page 199-204
  • ISSN: 0044-8753

Abstract

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We show that there exists exactly one homothety class of invariant Einstein metrics on each space [ S U ( 2 ) ] S + 1 / T S defined below.

How to cite

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Rodionov, Eugene D.. "On a new family of homogeneous Einstein manifolds." Archivum Mathematicum 028.3-4 (1992): 199-204. <http://eudml.org/doc/247349>.

@article{Rodionov1992,
abstract = {We show that there exists exactly one homothety class of invariant Einstein metrics on each space $[SU(2)]^\{S+1\}/T^S$ defined below.},
author = {Rodionov, Eugene D.},
journal = {Archivum Mathematicum},
keywords = {Einstein manifolds; homogeneous Riemannian manifolds; Ricci curvature; curvature tensor; Sasakian spaces; invariant Einstein metrics},
language = {eng},
number = {3-4},
pages = {199-204},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a new family of homogeneous Einstein manifolds},
url = {http://eudml.org/doc/247349},
volume = {028},
year = {1992},
}

TY - JOUR
AU - Rodionov, Eugene D.
TI - On a new family of homogeneous Einstein manifolds
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 3-4
SP - 199
EP - 204
AB - We show that there exists exactly one homothety class of invariant Einstein metrics on each space $[SU(2)]^{S+1}/T^S$ defined below.
LA - eng
KW - Einstein manifolds; homogeneous Riemannian manifolds; Ricci curvature; curvature tensor; Sasakian spaces; invariant Einstein metrics
UR - http://eudml.org/doc/247349
ER -

References

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  1. Einstein manifolds, Springer Verlag, Berlin, 1987. (1987) Zbl0613.53001MR0867684
  2. The classification of ϕ -symmetric Sasakian manifolds, 1991, preprint. MR1223246
  3. A classification of five-dimensional ϕ -symmetric spaces, Tensor, N.S. 46 (1987), 379-386. (1987) 
  4. Einstein metrics an a class of five-dimensional homogenous spaces, 1991, to appear in CMUC, Prague. MR1137801
  5. Sasakian ϕ -symmetric spaces, Tohoku Math. J. 29 (1977), 91-113. (1977) Zbl0343.53030MR0440472

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