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Weak Quasi-Contact Metric Manifolds and New Characteristics of K-Contact and Sasakian Manifolds

Author

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  • Vladimir Rovenski

    (Department of Mathematics, University of Haifa, Haifa 3498838, Israel)

Abstract

Quasi-contact metric manifolds (introduced by Y. Tashiro and then studied by several authors) are a natural extension of contact metric manifolds. Weak almost-contact metric manifolds, i.e., where the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, have been defined by the author and R. Wolak. In this paper, we study a weak analogue of quasi-contact metric manifolds. Our main results generalize some well-known theorems and provide new criterions for K-contact and Sasakian manifolds in terms of conditions on the curvature tensor and other geometric objects associated with the weak quasi-contact metric structure.

Suggested Citation

  • Vladimir Rovenski, 2024. "Weak Quasi-Contact Metric Manifolds and New Characteristics of K-Contact and Sasakian Manifolds," Mathematics, MDPI, vol. 12(20), pages 1-9, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3230-:d:1499373
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    References listed on IDEAS

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    1. Vladimir Rovenski, 2023. "Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds," Mathematics, MDPI, vol. 11(20), pages 1-10, October.
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