-quasi Einstein manifolds satisfying certain curvature conditions
Uday Chand De, Sahanous Mallick (2014)
Matematički Vesnik
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Displaying similar documents to “On -quasi Einstein manifolds satisfying certain conditions.”
-quasi Einstein manifolds satisfying certain curvature conditions
On the existence of generalized quasi-Einstein manifolds
Uday Chand De, Sahanous Mallick (2011)
Archivum Mathematicum
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The object of the present paper is to study a type of Riemannian manifold called generalized quasi-Einstein manifold. The existence of a generalized quasi-Einstein manifold have been proved by non-trivial examples.
On the quasi-conformal curvature tensor of a Kenmotsu manifold.
Özgür, Cihan, De, Uday Chand (2006)
Mathematica Pannonica
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On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity
Sahanous Mallick, Uday Chand De (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.
On Super Quasi Einstein Manifold
Pratyay Debnath, Arabinda Konar (2011)
Publications de l'Institut Mathématique
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On a class of Ricci-recurrent manifolds.
Ewert-Krzemieniewski, Stanislaw (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Characterization on Mixed Generalized Quasi-Einstein Manifold
Sampa Pahan, Buddhadev Pal, Arindam BHATTACHARYYA (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain condition. Then we obtain three and four dimensional examples of mixed generalized quasi-Einstein manifold to ensure the existence of such manifold. Finally we establish the examples of warped product on mixed generalized quasi-Einstein manifold. ...
Notes on extended recurrent and extended quasi-recurrent manifolds.
Ewert-Krzemieniewski, Stanisław (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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On conharmonic curvature tensor in -contact and Sasakian manifolds.
Dwivedi, Mohit Kumar, Kim, Jeong-Sik (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Smooth metric measure spaces, quasi-Einstein metrics, and tractors
Jeffrey Case (2012)
Open Mathematics
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We introduce the tractor formalism from conformal geometry to the study of smooth metric measure spaces. In particular, this gives rise to a correspondence between quasi-Einstein metrics and parallel sections of certain tractor bundles. We use this formulation to give a sharp upper bound on the dimension of the vector space of quasi-Einstein metrics, providing a different perspective on some recent results of He, Petersen and Wylie.
Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds
Yi Hua Deng, Li Ping Luo, Li Jun Zhou (2015)
Annales Polonici Mathematici
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We discuss the rigidity of Einstein manifolds and generalized quasi-Einstein manifolds. We improve a pinching condition used in a theorem on the rigidity of compact Einstein manifolds. Under an additional condition, we confirm a conjecture on the rigidity of compact Einstein manifolds. In addition, we prove that every closed generalized quasi-Einstein manifold is an Einstein manifold provided μ = -1/(n-2), λ ≤ 0 and β ≤ 0.