Results 21 to 30 of about 473,950 (309)

Semi-Conformally Flat Singly Warped Product Manifolds and Applications

open access: yesAxioms, 2023
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
doaj   +1 more source

Bootstrap bounds on closed Einstein manifolds [PDF]

open access: yesJournal of High Energy Physics, 2020
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]

open access: yesJournal of Geometry and Physics, 2020
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
openaire   +3 more sources

On Bochner Flat Kähler B-Manifolds

open access: yesAxioms, 2023
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
doaj   +1 more source

A generalization of a 4-dimensional Einstein manifold [PDF]

open access: yes, 2010
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]

open access: yesRACSAM, 2020
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]

open access: yes, 1994
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
semanticscholar   +1 more source

On Generalized Recurrent and Generalized Concircularly Recurrent Weyl Manifolds

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
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
doaj   +1 more source

Einstein manifolds and contact geometry [PDF]

open access: yesProceedings of the American Mathematical Society, 2001
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
Boyer, Charles P., Galicki, Krzysztof
openaire   +2 more sources

On conformally Kähler, Einstein manifolds [PDF]

open access: yesJournal of the American Mathematical Society, 2008
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
openaire   +3 more sources

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