Results 41 to 50 of about 125 (89)
On the Differential Equation Governing Torqued Vector Fields on a Riemannian Manifold
, 2020 In this article, we show that the presence of a torqued vector field on a Riemannian manifold can be used to obtain rigidity results for Riemannian manifolds of constant curvature. More precisely, we show that there is no torqued vector field on n-sphere
Nasser Bin Turki +2 more
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A link between torse-forming vector fields and rotational hypersurfaces
, 2017 Torse-forming vector fields introduced by Yano [On torse forming direction in a Riemannian space, Proc. Imp. Acad. Tokyo 20 (1944) 340–346] are natural extension of concurrent and concircular vector fields.
Leopold Verstraelen, Bang-Yen Chen
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From infinitesimal harmonic transformations to Ricci solitons [PDF]
, 2013 summary:The concept of the Ricci soliton was introduced by R. S. Hamilton. The Ricci soliton is defined by a vector field and it is a natural generalization of the Einstein metric.
Mikeš, Josef +2 more
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On tensor fields semiconjugated with torse-forming vector fields [PDF]
, 2005 summary:The paper deals with tensor fields which are semiconjugated with torse-forming vector fields.
Mikeš, Josef, Rachůnek, Lukáš
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Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind [PDF]
, 2010 summary:In this paper we define generalized Kählerian spaces of the first kind $(G\underset 1K_N)$ given by (2.1)--(2.3). For them we consider hollomorphically projective mappings with invariant complex structure.
Velimirović, Ljubica S. +2 more
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Some Properties of Lorentzian $\alpha $-Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection [PDF]
, 2015 summary:The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian $\alpha $-Sasakian manifold with respect to
BHATTACHARYYA, Arindam, DEY, Santu
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Holomorphically projective mappings of compact semisymmetric manifolds [PDF]
, 2010 summary:In this paper we consider holomorphically projective mappings from the compact semisymmetric spaces $A_n$ onto (pseudo-) Kählerian spaces $\bar{K}_n$.
Al Lamy, Raad J. K. +3 more
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Sasakian Hypersurfaces of the Generalized Concircular Recurrent Kahlerian Manifold
, 2008 In this paper we consider a recurrent sasakian hyper surface of the generalized con circular recurrent Kahlerian manifold and determine some conditions on the vector fields used in the sasakian structure.
Hari Baskar, R. +3 more
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Solitonic aspects of submanifolds in Kenmotsu statistical manifolds
, 2023 The differential geometry of Kenmotsu manifold is a valuable part of contact geometry with nice applications in other fields such as theoretical physics.
Siddiqui, Aliya Naaz +1 more
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