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Venkatesha; Naik, Devaraja Mallesha; Kumara, H. Aruna

Conformal curvature tensor on paracontact metric manifolds. (English) Zbl 1474.53183

Mat. Vesn. 72, No. 3, 215-225 (2020).
Summary: In this paper, we consider paracontact metric manifolds satisfying certain flatness conditions on the conformal curvature tensor. Specifically, we study \(\xi \)-conformally flat \(K\)-paracontact manifolds and \(\varphi\)-conformally flat \(K\)-paracontact and paraSasakian manifolds. Also we discuss \(\varphi\)-conformally flat compact regular \(K\)-paracontact manifolds. Finally, we study conformally flat paracontact metric manifolds.

Cited in 1 Document

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53D10 Contact manifolds (general theory)
53C18 Conformal structures on manifolds

Keywords:

conformal curvature tensor; paracontact metric manifold; \(K\)-paracontact manifold; paraSasakian manifold; regular \(K\)-paracontact manifold
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\textit{Venkatesha} et al., Mat. Vesn. 72, No. 3, 215--225 (2020; Zbl 1474.53183)
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