Results 71 to 77 of about 252 (77)
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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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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», 2023Aligadzhi Rabadanovich Rustanov +2 more
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General Relativistic Space-Time with η1-Einstein Metrics
Mathematics, 2022Yanlin Li, Fatemah Mofarreh, Santu Dey
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