Results 51 to 60 of about 85,733 (177)

Characterizing killing vector fields of standard static space-times [PDF]

, 2012
Cataloged from PDF version of article.We provide a global characterization of the Killing vector fields of a standard static space-time by a system of partial differential equations.
Dobarro, F., Unal, B.
core   +1 more source

Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

Mathematics, 2023
Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
doaj   +1 more source

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 ...
openaire   +1 more source

Gauge Theories in Noncommutative Homogeneous K\"ahler Manifolds

, 2014
We construct a gauge theory on a noncommutative homogeneous K\"ahler manifold, where we employ the deformation quantization with separation of variables for K\"ahler manifolds formulated by Karabegov.
Akifumi Sako, Dubois-Violette M., Fedosov B., Hiroshi Umetsu, Kobayashi S., Toshiya Suzuki, Yoshiaki Maeda   +6 more
core   +1 more source

Deformations of Quantum Field Theories on Spacetimes with Killing Vector Fields [PDF]

Communications in Mathematical Physics, 2011
35 pages, 3 ...
DAPPIAGGI, CLAUDIO, Gandalf Lechner, Eric Morfa Morales   +2 more
openaire   +3 more sources

Jacobi fields and the stability of minimal foliations of arbitrary codimension

, 2010
In this article, we investigate the stability of leaves of minimal foliations of arbitrary codimension. We also study relations between Jacobi fields and vector fields which preserves a foliation and we use these results to Killing ...
Andrzejewski, Krzysztof
core   +1 more source

Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations [PDF]

, 2010
Killing vector fields in three dimensions play important role in the construction of the related spacetime geometry. In this work we show that when a three dimensional geometry admits a Killing vector field then the Ricci tensor of the geometry is ...
Aliev A N, Anninos D, Ayon-Beato E, Barrow J D, Bergshoeff E Hohm O Townsend P K, Carlip S, Carot J, Chow D D K, Chow D D K, Clement G, Clement G, Clement G, Deser S, Deser S, Deser S, Eisenhart L P, Fels M E, Gleiser R J, Gürses M, Gürses M, Gürses M, Metin Gürses, Moussa K A, Nutku Y, Song W Ki   +24 more
core   +2 more sources

Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group

Mathematics
We consider Riemann soliton vector fields and Ricci bi-conformal vector fields on the oscillator group. We prove that the oscillator group admits Riemann solitons. Subsequently, we provide a complete classification of all Ricci bi-conformal vector fields
Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Mohammad Nazrul Islam Khan   +3 more
doaj   +1 more source

Killing Vector Fields on Complete Riemannian Manifolds [PDF]

Proceedings of the American Mathematical Society, 1982
We discuss Killing vector fields with finite global norms on complete Riemannian manifolds whose Ricci curvatures are nonpositive or negative.
openaire   +2 more sources

Riemann Solitons on a Spacetime with the Spatially Homogeneous Rotating Metric

Axioms
This manuscript presents a comprehensive taxonomy of Riemann solitons within the framework of a spacetime manifold endowed with a metric exhibiting both spatial homogeneity and rotational characteristics.
Majid Ali Choudhary, Foued Aloui, Ibrahim Al-Dayel   +2 more
doaj   +1 more source