192 research outputs found
Sasakian metric as a Ricci soliton and related results
We prove the following results: (i) A Sasakian metric as a non-trivial Ricci
soliton is null -Einstein, and expanding. Such a characterization permits
to identify the Sasakian metric on the Heisenberg group as
an explicit example of (non-trivial) Ricci soliton of such type. (ii) If an
-Einstein contact metric manifold has a vector field leaving the
structure tensor and the scalar curvature invariant, then either is an
infinitesimal automorphism, or is -homothetically fixed -contact.Comment: Non
- …