A Study on -recurrence -curvature tensor in -contact metric manifolds
Gurupadavva Ingalahalli, C.S. Bagewadi (2018)
Communications in Mathematics
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In this paper we study -recurrence -curvature tensor in-contact metric manifolds.
Gurupadavva Ingalahalli, C.S. Bagewadi (2018)
Communications in Mathematics
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In this paper we study -recurrence -curvature tensor in-contact metric manifolds.
Zdeněk Dušek (2015)
Czechoslovak Mathematical Journal
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Let be a 4-dimensional Einstein Riemannian manifold. At each point of , the tangent space admits a so-called Singer-Thorpe basis (ST basis) with respect to the curvature tensor at . In this basis, up to standard symmetries and antisymmetries, just components of the curvature tensor are nonzero. For the space of constant curvature, the group acts as a transformation group between ST bases at and for the so-called 2-stein curvature tensors, the group acts as a transformation...
Neil Seshadri (2009)
Bulletin de la Société Mathématique de France
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To any smooth compact manifold endowed with a contact structure and partially integrable almost CR structure , we prove the existence and uniqueness, modulo high-order error terms and diffeomorphism action, of an approximately Einstein ACH (asymptotically complex hyperbolic) metric on . We consider the asymptotic expansion, in powers of a special defining function, of the volume of with respect to and prove that the log term coefficient is independent of (and any choice...
Shyamal Kumar Hui, Debabrata Chakraborty (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The object of the present paper is to study -Ricci solitons on -Einstein -manifolds. It is shown that if is a recurrent torse forming -Ricci soliton on an -Einstein -manifold then is (i) concurrent and (ii) Killing vector field.
Dibakar Dey, Pradip Majhi (2021)
Communications in Mathematics
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The object of the present paper is to study some types of semisymmetry conditions on two classes of almost Kenmotsu manifolds. It is shown that a -almost Kenmotsu manifold satisfying the curvature condition is locally isometric to the hyperbolic space . Also in -almost Kenmotsu manifolds the following conditions: (1) local symmetry , (2) semisymmetry , (3) , (4) , (5) locally isometric to the hyperbolic space are equivalent. Further, it is proved that a -almost Kenmotsu manifold...
Sergey E. Stepanov, Irina I. Tsyganok, Marina B. Khripunova (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper we solve the problem of finding integrals of equations determining the Killing tensors on an -dimensional differentiable manifold endowed with an equiaffine -structure and discuss possible applications of obtained results in Riemannian geometry.
Amalendu Ghosh (2016)
Mathematica Bohemica
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We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures with constant scalar curvature is either Einstein, or the dual field of is Killing. Next, let be a complete and connected Riemannian manifold of dimension at least admitting a pair of Einstein-Weyl structures . Then the Einstein-Weyl vector field (dual to the -form ) generates an infinitesimal harmonic transformation if and only if is Killing.
Santu DEY, Buddhadev Pal, Arindam BHATTACHARYYA (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian -Sasakian manifold. We study some curvature properties of an Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally -symmetric, -symmetric, locally projective -symmetric, -projectively flat Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection.
Wei Lu, Jing Mao, Chuanxi Wu (2020)
Czechoslovak Mathematical Journal
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Let be an -dimensional () simply connected Hadamard manifold. If the radial Ricci curvature of is bounded from below by with respect to some point , where is the Riemannian distance on to , is a nonpositive continuous function on , then the first nonzero Neumann eigenvalues of the Laplacian on the geodesic ball , with center and radius , satisfy where is the solution to
Anna Bednarska (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We prove that any first order -natural operator transforming projectable general connections on an -dimensional fibred-fibred manifold into general connections on the vertical prolongation of is the restriction of the (rather well-known) vertical prolongation operator lifting general connections on a fibred manifold into (the vertical prolongation of ) on .
Jan Kurek, Włodzimierz Mikulski (2016)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study how a projectable general connection in a 2-fibred manifold and a general vertical connection in induce a general connection in .
Xiaojian Lu, Deren Luo (2023)
Czechoslovak Mathematical Journal
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We introduce the algebras satisfying the condition. If , are algebras satisfying the , condition, respectively, we give a construction of -almost split sequences in some subcategories of by tensor products and mapping cones. Moreover, we prove that the tensor product algebra satisfies the condition for some integers , ; this construction unifies and extends the work of A. Pasquali (2017), (2019).