EINSTEIN SPACES AND CONFORMAL VECTOR FIELDS

Title & Authors
EINSTEIN SPACES AND CONFORMAL VECTOR FIELDS
KIM DONG-SOO; KIM YOUNG HO; PARK SEONG-HEE;

Abstract
We study Riemannian or pseudo-Riemannian manifolds which admit a closed conformal vector field. Subject to the condition that at each point $\small{p{\in}M^n}$ the set of conformal gradient vector fields spans a non-degenerate subspace of TpM, using a warped product structure theorem we give a complete description of the space of conformal vector fields on arbitrary non-Ricci flat Einstein spaces.
Keywords
Einstein space;warped product;conformal vector field;
Language
English
Cited by
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