Holomorphically planar conformal vector fields on almost alpha-cosymplectic (k,m)-spaces
نویسندگان
چکیده
The aim of the present paper is to study holomorphically planar conformal vector fields(HPCV) on almost alpha-cosymplectic (k,m)-spaces. This done assuming various conditions such as i) U pointwise collinear with xi ( in this case integral manifold distribution D totally geodesic or umbilic), ii) M has a constant xi-sectional curvature (under condition (or umbilic) isometric sphere S2n+1(pc) radius 1 pc ), iii) an (k,m)-spaces negative geodesic(or eigenvector h).
منابع مشابه
Componentwise conformal vector fields on Riemannian almost product manifolds
On a Riemannian almost product manifold, the notion of a componentwise conformal vector field is introduced and several examples are exhibited. We show that this class of vector fields is a conformal invariant. For a compact manifold, a Bochner type integral formula for the Ricci tensor on such vector fields is obtained. Then, integral inequalities which link a curvature condition with the exis...
متن کاملConformal Vector Fields in Symmetric and Conformal Symmetric Spaces
Consequences of the existence of conformal vector fields in (locally) symmetric and conformal symmetric spaces, have been obtained. An attempt has been made for a physical interpretation of the consequences in the framework of general relativity.
متن کاملConcurrent vector fields on Finsler spaces
In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fi...
متن کاملSpaces of Conformal Vector Fields on Pseudo-riemannian Manifolds
We study Riemannian or pseudo-Riemannian manifolds which carry the space of closed conformal vector fields of at least 2-dimension. Subject to the condition that at each point the set of closed conformal vector fields spans a non-degenerate subspace of the tangent space at the point, we prove a global and a local classification theorems for such manifolds.
متن کاملConformal vector fields and conformal transformations on a Riemannian manifold
In this paper first it is proved that if ξ is a nontrivial closed conformal vector field on an n-dimensional compact Riemannian manifold (M, g) with constant scalar curvature S satisfying S ≤ λ1(n − 1), λ1 being first nonzero eigenvalue of the Laplacian operator ∆ on M and Ricci curvature in direction of a certain vector field is non-negative, then M is isometric to the n-sphere S(c), where S =...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fundamental journal of mathematics and applications
سال: 2022
ISSN: ['2645-8845']
DOI: https://doi.org/10.33401/fujma.1153224