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On Compact Trans‐Sasakian Manifolds

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  • Ibrahim Al-Dayel
  • Sharief Deshmukh

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.

Suggested Citation

  • Ibrahim Al-Dayel & Sharief Deshmukh, 2022. "On Compact Trans‐Sasakian Manifolds," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:9239897
    DOI: 10.1155/2022/9239897
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    References listed on IDEAS

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    1. Sharief Deshmukh & Amira Ishan & Olga Belova & Suha B. Al-Shaikh, 2021. "Some Conditions on Trans-Sasakian Manifolds to Be Homothetic to Sasakian Manifolds," Mathematics, MDPI, vol. 9(16), pages 1-10, August.
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