Results 71 to 79 of about 287 (79)
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A Kenmotsu Metric as a *-conformal Yamabe Soliton with Torse Forming Potential Vector Field

Acta Mathematica Sinica, English Series, 2021
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Roy, Soumendu, Bhattacharyya, Arindam
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KÄHLERIAN TORSE-FORMING VECTOR FIELDS AND KÄHLERIAN SUBMERSIONS

SUT Journal of Mathematics, 1997
Let \((M,J,g)\) be a Kähler manifold. A vector field \(\xi\) on \(M\) is a Kählerian torse-forming vector field if \(\nabla_E\xi\) is contained in span\(\{\xi,J\xi,E,JE\}\) for all vector fields \(E\) on \(M\), where \(\nabla\) is the Levi-Civita connection.
Fueki, Shigeo, Yamaguchi, Seiichi
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On Torse-Forming-Like Vector Fields

Mediterranean Journal of Mathematics
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Adara M. Blaga, Cihan Özgür
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Certain results on \(N(k)\)-contact metric manifolds and torse-forming vector fields

2021
A contact metric manifold \(M\) is called \(N(k)\)-contact metric manifold if \(M\) is endowed with a \(k\)-nullity distribution. The author studies the properties of these manifolds endowed with a torse-forming vector field and admitting a Ricci soliton. Let us mention some of these results.
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On concircular and torse-forming vector fields on compact manifolds

2010
Summary: In this paper we modify the theorem by E. Hopf and found results and conditions, on which concircular, convergent and torse-forming vector fields exist on (pseudo-) Riemannian spaces. These results are applied for conformal, geodesic and holomorphically projective mappings of special compact spaces without boundary.
Mikes, Josef, Chodorová, Marie
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Curves in Riemannian Manifolds Making Prescribed Angles With Torse-Forming Vector Fields

In this paper, we introduce the notion of a prescribed angle curve in a Riemannian manifold associated with a pair $(\mathcal{V},θ)$, where $\mathcal{V}$ is a unit vector field along the curve and $θ$ denotes the angle between $\mathcal{V}$ and the principal normal vector of the curve. When $\mathcal{V}$ is a torse-forming vector field, we establish an
Aydin, Muhittin Evren   +2 more
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On the geometry of holomorphic torse-forming vector fields on almost contact metric manifolds

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2023
Aligadzhi Rabadanovich Rustanov   +2 more
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On some second order properties of torse forming vector fields

2001
Summary: If \(dp\) denotes the soldering form of a differentiable \(C^\infty\) manifold (i.e. the canonical vector valued 1-form) and \(\nabla\) the covariant differential operators, then a TF may be defined as \[ \nabla{\mathcal T}=sdp+\omega{\mathcal T},\quad s\in \Lambda^0M \] where \(\omega\in\Lambda^1M\) is the associated Pfaffian with \(\mathcal ...
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