Almost Kenmotsu Manifolds Admitting Certain Critical Metric
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In this paper , the authors introduced the notion of *-Miao-Tam critical equation on almost contact metric manifolds and studied on almost Kenmotsu manifolds with some nullity condition.Abstract:
Abstract The object of this offering article is to introduce the notion of *- Miao-Tam critical equation on almost contact metric manifolds and it is studied on almost Kenmotsu manifolds with some nullity condition. It is proved that if the metric of a (2n + 1)-dimensional (k, µ) ! -almost Kenmotsu manifold (M, g) satisfies the *-Miao-Tam critical equation, then the manifold (M, g) is *-Ricci flat and locally isometric to a product space. Finally, the result is verified by an example.read more
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Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
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Almost Kenmotsu Manifolds and Nullity Distributions
Giulia Dileo,Anna Maria Pastore +1 more
TL;DR: In this paper, the authors characterize almost contact metric manifolds which are CR-integrable almost Kenmotsu, through the existence of a suitable linear connection, and give examples and completely describe the three dimensional case.
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On the volume functional of compact manifolds with boundary with constant scalar curvature
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TL;DR: In this paper, the authors studied the volume functional on the space of constant scalar curvature metrics with a prescribed boundary metric, and showed that the volume of a critical point is always no less than the Euclidean volume bounded by the isometric embedding of the boundary.
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Real Hypersurfaces of Complex Space Forms in Terms of Ricci $*$-Tensor
TL;DR: In this article, the authors classified the $*$-Einstein real hypersurfaces in complex space forms such that the structure vector is a principal curvature vector and the principal curvatures of the hypersurface can be computed with the K\"ahler metric.