Some Conditions on Trans-Sasakian Manifolds to Be Homothetic to Sasakian Manifolds
نویسندگان
چکیده
In this paper, we study 3-dimensional compact and connected trans-Sasakian manifolds find necessary sufficient conditions under which these are homothetic to Sasakian manifolds. First, four results in paper deal with finding on a manifold be manifold, the fifth result deals condition manifold. Finally, simply Einstein
منابع مشابه
Trans-sasakian Manifolds
The object of the present paper is to study the extended generalized φ-recurrent trans-Sasakian manifold and its various geometric properties.
متن کاملOn a Type of Trans-sasakian Manifolds
The object of the present paper is to study 3-dimensional trans-Sasakian manifolds admitting a W2-curvature tensor. Trans-Sasakian manifolds satisfying the curvature condition S(X, ξ).R = 0 is also considered.
متن کاملOn Para-sasakian Manifolds
In ([1]), T. Adati and K. Matsumoto defined para-Sasakian and special para-Sasakian manifolds which are considered as special cases of an almost paracontact manifold introduced by I. Sato and K. Matsumoto ([10]). In the same paper, the authors studied conformally symmetric para-Sasakian manifolds and they proved that an ndimensional (n>3) conformally symmetric para-Sasakian manifold is conforma...
متن کاملOn $(epsilon)$ - Lorentzian para-Sasakian Manifolds
The object of this paper is to study $(epsilon)$-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of $(epsilon)$-Lorentzian para-Sasakian manifold are investigated. Further, we study globally $phi$-Ricci symmetric and weakly $phi$-Ricci symmetric $(epsilon)$-Lorentzian para-Sasakian manifolds and obtain interesting results.
متن کاملVector Bundles on Sasakian Manifolds
We investigate the analog of holomorphic vector bundles in the context of Sasakian manifolds.
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: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9161887