Results 11 to 20 of about 823 (221)
On Generalized Recurrent and Generalized Concircularly Recurrent Weyl Manifolds
Sakarya 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
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η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds
Cubo, 2020 In this paper, we study \( \eta \)-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of \( \eta \)-Einstein manifolds.
Sampa Pahan
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Sasaki-Einstein manifolds [PDF]
Surveys in Differential Geometry, 2011 This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.
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On Einstein Equations on Manifolds and Supermanifolds [PDF]
Journal of Nonlinear Mathematical Physics, 2002 The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M becomes the Grassmannian $Gr_{2}^{4}$ of 2-dimensional subspaces in the 4-dimensional complex one.
Leites, D., Poletaeva, E., Serganova, V.
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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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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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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 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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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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