Results 31 to 40 of about 8,017,385 (274)
On the Tachibana numbers of closed manifolds with pinched negative sectional curvature
Дифференциальная геометрия многообразий фигур, 2020 Conformal Killing form is a natural generalization of conformal Killing vector field. These forms were extensively studied by many geometricians. These considerations were motivated by existence of various applications for these forms.
S.E. Stepanov, I. I. Tsyganok
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UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS [PDF]
International Journal of Mathematics, 2005 We study 6-dimensional nearly Kähler manifolds admitting a Killing vector field of unit length. In the compact case, it is shown that up to a finite cover there is only one geometry possible, that of the 3-symmetric space S3 × S3.
Moroianu, Andrei +2 more
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A New Class of Contact Pseudo Framed Manifolds with Applications
International Journal of Mathematics and Mathematical Sciences, 2021 In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
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Deformations of Quantum Field Theories on Spacetimes with Killing Vector Fields [PDF]
Communications in Mathematical Physics, 2011 35 pages, 3 ...
DAPPIAGGI, CLAUDIO +2 more
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Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds
AxiomsWe study the characteristics of affine vector fields on pseudo-Riemannian manifolds and provide tensorial formulas that characterize these vector fields.
Norah Alshehri, Mohammed Guediri
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On compact pseudo-Riemannian manifolds admitting Killing vector fields [PDF]
AUT Journal of Mathematics and ComputingWe prove some theorems about the Killing vector fields on compact and connected pseudo-Riemannian manifolds. Among other results, we present a relationship between curvature of a compact pseudo-Riemannian manifold $M$ and existence of Killing vector ...
Reza Mirzaie
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Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity
Mehran University Research Journal of Engineering and Technology, 2020 conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan +2 more
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Light-cone quantization of scalar field on time-dependent backgrounds
European Physical Journal C: Particles and Fields, 2022 We discuss what is light-cone quantization on a curved spacetime also without a null Killing vector. Then we consider as an example the light-cone quantization of a scalar field on a background with a Killing vector and the connection with the second ...
Andrea Arduino, Igor Pesando
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Structure of Lorentzian tori with a killing vector field [PDF]
Transactions of the American Mathematical Society, 1997 All Lorentzian tori with a non-discrete group of isometries are characterized and explicitly obtained. They can lie into three cases: (a) flat, (b) conformally flat but non-flat, and (c) geodesically incomplete. A detailed study of many of their properties (including results on the logical dependence of the three kinds of causal completeness, on ...
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A Geometric characterization of Finsler manifolds of constant curvature K=1
International Journal of Mathematics and Mathematical Sciences, 2000 We prove that a Finsler manifold 𝔽m is of constant curvature K=1 if and only if the unit horizontal Liouville vector field is a Killing vector field on the indicatrix bundle IM of 𝔽m.
A. Bejancu, H. R. Farran
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