Open AccessNon-existence of homogeneous Einstein metrics
Author(s) -
Christoph Böhm
Publication year - 2005
Publication title -
commentarii mathematici helvetici
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/8
Subject(s) - mathematics , homogeneous , einstein , homotopy , invariant (physics) , pure mathematics , prime (order theory) , combinatorics , mathematical physics
We show that there exist infinitely many simply connected compact prime homogeneous spaces $G/H$ with infinite second homotopy group which do not admit $G$-invariant Einstein metrics.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom