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KÄHLERIAN TORSE-FORMING VECTOR FIELDS AND KÄHLERIAN SUBMERSIONS
KÄHLERIAN TORSE-FORMING VECTOR FIELDS AND KÄHLERIAN SUBMERSIONSopenaire
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A Kenmotsu Metric as a *-conformal Yamabe Soliton with Torse Forming Potential Vector Field
Acta Mathematica Sinica, English Series, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soumendu Roy +2 more
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KÄHLERIAN TORSE-FORMING VECTOR FIELDS AND KÄHLERIAN SUBMERSIONS
SUT Journal of Mathematics, 1997Let \((M,J,g)\) 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.
Seiichi Yamaguchi
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On Torse-Forming-Like Vector Fields
Mediterranean Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adara M Blaga +2 more
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On the geometry of holomorphic torse-forming vector fields on almost contact metric manifolds
Itogi Nauki I Tehniki Seriâ, Sovremennye Problemy Matematiki, Fundamentalʹnye Napravleniâ, 2023Aligadzhi Rabadanovich Rustanov +2 more
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Certain results on \(N(k)\)-contact metric manifolds and torse-forming vector fields
2021A 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
2010Summary: 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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On some second order properties of torse forming vector fields
2001Summary: 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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Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field
Quaestiones Mathematicae, 2022Adara M Blaga, Cihan Özgur
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On a torse-forming vector field in a P-Sasakian manifold
TRU Mathematics, 1978openaire +2 more sources