Results 61 to 70 of about 2,217 (169)
Mathematics, 2019 In the present paper, we study conformal mappings between a connected n-dimension pseudo-Riemannian Einstein manifolds. Let g be a pseudo-Riemannian Einstein metric of indefinite signature on a connected n-dimensional manifold M.
Josef Mikeš +2 more
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Complex manifolds and Einstein’s equations
, 1982 We present a generalization of Penrose’s twistor theory based on the geometry of rational curves in complex manifolds. The analytical counterpart of this complex geometry consists, in the three simplest cases, of a system of differential equations closely connected with Einstein’s equations.
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On Einstein, Hermitian 4-manifolds
Journal of Differential Geometry, 2012 Let (M,h) be a compact 4-dimensional Einstein manifold, and suppose that h is Hermitian with respect to some complex structure J on M. Then either (M,J,h) is Kaehler-Einstein, or else, up to rescaling and isometry, it is one of the following two exceptions: the Page metric on CP2 # (-CP2), or the Einstein metric on CP2 # 2 (-CP2) constructed in Chen ...
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AdS geometry from CFT on a general conformally flat manifold
Nuclear Physics B, 2018 We construct an anti-de-Sitter (AdS) geometry from a conformal field theory (CFT) defined on a general conformally flat manifold via a flow equation associated with the curved manifold, which we refer to as the primary flow equation.
Sinya Aoki, Shuichi Yokoyama
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Characterizing ϕRic-Vector Fields and Quasi-Einstein Manifolds on Multiply Warped Product Manifolds
International Journal of Mathematics and Mathematical SciencesWe characterize multiply warped product manifolds with ϕRic-vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕRic-vector field.
Moctar Traore +2 more
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Generalized pseudo Ricci symmetric manifolds with semi-symmetric metric connection
Kuwait Journal of Science, 2014 In this paper, firstly an example of a manifold with almost constant curvature and nearly quasi constant curvature which is neither quasi Einstein nor nearly quasi Einstein is given.
SEZGIN ALTAY DEMIRBAG
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CuboIn this research article, we study \(\ast\)-\(\eta\)-Ricci-Yamabe solitons on an \(\alpha\)-cosymplectic manifold by giving an example in the support and also prove that it is an \(\eta\)-Einstein manifold.
Vandana +2 more
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A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
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Hyper-Generalized Weakly Symmetric Para-Sasakian Manifolds and Their Geometric Properties
Қарағанды университетінің хабаршысы. Математика сериясыThis paper examines para-Sasakian manifolds that satisfy a hyper-generalized weakly symmetric curvature condition. The conditions under which such a manifold with a hyper-generalized weakly symmetric curvature condition satisfies the η-Einstein manifold
B. Thangjam, M.S. Devi
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
International Journal of Mathematics and Mathematical Sciences, 2012 We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
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