Inspired by a result of Boyer and Galicki, we prove that a complete K-contact gradient soliton
is compact Einstein and Sasakian. For the non-gradient case we show that the soliton vector …

Einstein Manifolds and Contact Geometry Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 129, Number 8, Pages 2419-2430 S 0002-9939(01)05943-3 …

Let M be a Riemannian manifold. It is well known [1, p. 131] that the tangent sphere bundle
T1M admits a contact Riemannian structure (T/.~, cp, g). T 1M together with this structure is a …

1. Introduction. In [1, 2, 3] the authors studied almost contact manifolds with Killing structure
tensors (called nearly cosymplectic) and showed that if this structure is normal, it is …

Let Z be a compact complex (2n+ 1)-manifold which carries a complex contact structure,
meaning a codimension-1 holomorphic sub-bundle D⊂ TZ which is maximally non …

We give a short Lie-derivative theoretic proof of the following recent result of Barros et al.“A
compact non-trivial almost Ricci soliton with constant scalar curvature is gradient, and …

The assumption that (M2m+ 1, φ, ξ, η, g) is a contact metric manifold is very weak, since the
set of metrics associated to the contact form η is huge. Even if the structure is^-Einstein we …

We prove that if a Sasakian metric is a∗-Ricci Soliton, then it is either positive Sasakian, or
null-Sasakian. Next, we prove that if a complete Sasakian metric is an almost gradient∗ …

In his Colloquium Lectures on G-structures [2], SS Chern asked for the conditions, both local
and global, on a Cmanifold in order that a linear differential form η exist such that η Λ {dηY φ …

Almost contact manifolds with Killing structure tensors were defined in [2] as nearly
cosymplectic manifolds, and it was shown normal nearly cosymplectic manifolds are …