Results 21 to 30 of about 42,669 (197)
REMARKS ON KÄHLER-EINSTEIN MANIFOLDS [PDF]
Nagoya Mathematical Journal, 1972 The main purpose of this note is to characterize a compact Káhler-Einstein manifold in terms of curvature form. The curvature form Q is an EndT valued differential form of type (1,1) which represents the curvature class of the manifold. We shall prove that the curvature form of a Káhler metric is the harmonic representative of the curvature class if ...
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Generalized Quasi-Einstein Manifolds in Contact Geometry
Mathematics, 2020 In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds.
İnan Ünal
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Brane brick models for the Sasaki-Einstein 7-manifolds Y p,k (ℂℙ1 × ℂℙ1) and Y p,k (ℂℙ2)
Journal of High Energy Physics, 2023 The 2d (0, 2) supersymmetric gauge theories corresponding to the classes of Y p,k (ℂℙ1 × ℂℙ1) and Y p,k (ℂℙ2) manifolds are identified. The complex cones over these Sasaki-Einstein 7-manifolds are non-compact toric Calabi-Yau 4-folds.
Sebastián Franco +2 more
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Instantons on sine-cones over Sasakian manifolds [PDF]
, 2014 We investigate instantons on sine-cones over Sasaki-Einstein and 3-Sasakian manifolds. It is shown that these conical Einstein manifolds are K"ahler with torsion (KT) manifolds admitting Hermitian connections with totally antisymmetric torsion ...
Bunk, Severin +4 more
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EINSTEIN MANIFOLDS WITH SKEW TORSION [PDF]
The Quarterly Journal of Mathematics, 2013 24 pages, 1 figure, new version with erratum added at the ...
Ferreira, Ana Cristina, Agricola, Ilka
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On Eta-Einstein Sasakian Geometry [PDF]
, 2005 We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many ...
Boyer, Charles P. +2 more
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Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection [PDF]
Journal of HyperstructuresThe purpose of the present paper is to study some properties of α -Sasakian manifolds with respect to Schouten-van Kampen connection. We study η-Einstein soliton on pseudo-projectively flat α-Sasakian manifolds with respect to Schouten-van Kampen ...
Abhijit Mandal +5 more
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Semi-Conformally Flat Singly Warped Product Manifolds and Applications
Axioms, 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
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On the scalar curvature of Einstein manifolds [PDF]
Mathematical Research Letters, 1997 LaTeX.
Catanese, Fabrizio, LeBrun, Claude
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On Pseudo-Petrov Symmetric Riemannian Manifolds
Advances in Mathematical Physics, 2016 The present paper deals with pseudo-Petrov symmetric Riemannian manifolds whose space-matter tensor satisfies a special condition. Firstly, basic results of pseudo-Petrov symmetric Riemannian manifolds are obtained.
Sanjib Kumar Jana +3 more
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