TY - BOOK AU - D'Atri,J.E. AU - Ziller,Wolfgang TI - Naturally reductive metrics and Einstein metrics on compact Lie groups T2 - Memoirs of the American Mathematical Society, SN - 9781470404505 (online) AV - QA3QA387 .A57 no. 215 U1 - 510/.8 s516/.362 PY - 1979/// CY - Providence, R.I. PB - American Mathematical Society KW - Lie groups KW - Riemannian manifolds KW - Homogeneous spaces KW - Lie algebras N1 - Bibliography: p. 71-72; 0. Introduction; 1. Preliminaries; 2. Naturally reductive metrics on compact Lie groups; 3. Isometry groups of left invariant metrics; 4. Geometry of naturally reductive left invariant metrics; 5. Einstein metrics; 6. Noncompact Lie groups; 7. Einstein metrics on homogeneous spaces; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0215 UR - http://dx.doi.org/10.1090/memo/0215 ER -