Nearly Cosymplectic Manifolds of Constant Type
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DOI: 10.3390/axioms11040152
Abstract: Fundamental identities characterizing a nearly cosymplectic structure and analytical expressions for the first and second structural tensors are obtained in this paper. An identity that is satisfied by the first structural tensor of a nearly… read more here.
Keywords: constant type; nearly cosymplectic; constancy; cosymplectic manifolds ... See more keywords
Nearly Sasakian Manifolds of Constant Type
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DOI: 10.3390/axioms11120673
Abstract: The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the… read more here.
Keywords: constant type; sasakian manifolds; type; manifold ... See more keywords
Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection
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DOI: 10.3390/e24060800
Abstract: In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional curvature that are… read more here.
Keywords: kenmotsu statistical; statistical submanifolds; submanifolds kenmotsu; statistical manifolds ... See more keywords