m-quasi Einstein Metric and Paracontact Geometry
نویسندگان
چکیده
The object of the upcoming article is to characterize paracontact metric manifolds conceding $m$-quasi Einstein metric. First we establish that if $g$ in a $K$-paracontact manifold metric, then constant scalar curvature. Furthermore, classify $(k,\mu)$-paracontact whose Finally, construct non-trivial example such manifold.
منابع مشابه
Special connections in almost paracontact metric geometry
Two types of properties for linear connections (natural and almost paracontact metric) are discussed in almost paracontact metric geometry with respect to four linear connections: Levi-Civita, canonical (Zamkovoy), Golab and generalized dual. Their relationship is also analyzed with a special view towards their curvature. The particular case of an almost paracosymplectic manifold giv...
متن کاملspecial connections in almost paracontact metric geometry
two types of properties for linear connections (natural and almost paracontact metric) are discussed in almost paracontact metric geometry with respect to four linear connections: levi-civita, canonical (zamkovoy), golab and generalized dual. their relationship is also analyzed with a special view towards their curvature. the particular case of an almost paracosymplectic manifold giv...
متن کاملIndefinite Almost Paracontact Metric Manifolds
In this paper we introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We prove that if a semi-Riemannian manifold is one of flat, proper recurrent or proper Ricci-recurrent, then it can not admit an (ε...
متن کاملQuasi-metric spaces and point-free geometry
An approach to point-free geometry based on the notion of a quasi-metric is proposed in which the primitives are the regions and a non symmetric distance between regions. The intended models are the bounded regular closed subsets of a metric space together with the Hausdorff excess measure.
متن کاملWarped product and quasi-Einstein metrics
Warped products provide a rich class of physically significant geometric objects. Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial quasi-Einstein warped product, and non compact complete base manifolds which do not admit any non-triv...
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: International electronic journal of geometry
سال: 2022
ISSN: ['1307-5624']
DOI: https://doi.org/10.36890/iejg.1100147