On Compact Trans-Sasakian Manifolds

Ibrahim Al-Dayel, Sharief Deshmukh and P. Areias

Advances in Mathematical Physics, 2022, vol. 2022, 1-6

Abstract: We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected trans-Sasakian manifold to be homothetic to an Einstein Sasakian manifold and in the third result deals with finding necessary and sufficient condition on a compact and simply connected trans-Sasakian manifold to be homothetic to a Sasakian manifold.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9239897

DOI: 10.1155/2022/9239897

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