Results 21 to 30 of about 473,950 (309)
Semi-Conformally Flat Singly Warped Product Manifolds and Applications
This paper investigates singly warped product manifolds admitting semi-conformal curvature tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of a semi-conformally flat singly warped product manifold are provided. It
Samesh Shenawy +4 more
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Bootstrap bounds on closed Einstein manifolds [PDF]
A compact Riemannian manifold is associated with geometric data given by the eigenvalues of various Laplacian operators on the manifold and the triple overlap integrals of the corresponding eigenmodes. This geometric data must satisfy certain consistency
James Bonifacio, Kurt Hinterbichler
semanticscholar +1 more source
On a semi-quasi-Einstein manifold [PDF]
In the present paper we introduce a semi-quasi-Einstein manifold from a semi symmetric metric connection. Among others, the popular Schwarzschild and Kottler spacetimes are shown to possess this structure. Certain curvature conditions are studied in such a manifold with a Killing generator.
Yanling Han, Avik De, Peibiao Zhao
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On Bochner Flat Kähler B-Manifolds
We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional
Cornelia-Livia Bejan +2 more
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A generalization of a 4-dimensional Einstein manifold [PDF]
A weakly Einstein manifold is a natural generalization of a 4-dimensional Einstein manifold. In this paper, we shall give a characterization of a weakly Einstein manifold in terms of so-called generalized Singer-Thorpe bases.
Y. Euh, JeongHyeong Park, K. Sekigawa
semanticscholar +1 more source
Para-Sasaki-like Riemannian manifolds and new Einstein metrics [PDF]
We determine a new class of paracontact paracomplex Riemannian manifolds derived from certain cone construction, called para-Sasaki-like Riemannian manifolds, and give explicit examples.
S. Ivanov, H. Manev, M. Manev
semanticscholar +1 more source
The spectrum of an asymptotically hyperbolic Einstein manifold [PDF]
This paper relates the spectrum of the scalar Laplacian of an asymptotically hyperbolic Einstein metric to the conformal geometry of its ``ideal boundary'' at infinity. It follows from work of R. Mazzeo that the essential spectrum of such a metric on an $
John M. Lee
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On Generalized Recurrent and Generalized Concircularly Recurrent Weyl Manifolds
In the present work, generalized recurrent and generalized concircularly recurrent Weyl manifolds are examined. We define nearly quasi-Einstein Weyl manifolds and we proved that if a generalized recurrent or generalized concircularly recurrent Weyl ...
İlhan Gül
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Einstein manifolds and contact geometry [PDF]
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
Boyer, Charles P., Galicki, Krzysztof
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On conformally Kähler, Einstein manifolds [PDF]
We prove that any compact complex surface with c 1 > 0 c_1>0 admits an Einstein metric which is conformally related to a Kähler metric. The key new ingredient is the existence of such a metric on the blow-up C P 2
Chen, Xiuxiong +2 more
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