scholarly journals The geodesic completeness of compact Lorentzian manifolds admitting a timelike killing vector field revisited: Two new proofs

2018 ◽  
Vol 104 (118) ◽  
pp. 121-125 ◽  
Author(s):  
la de
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Lorentzian Manifolds ◽  
Geodesic Completeness ◽  
Timelike Killing Vector

scholarly journals Actions of discrete groups on stationary Lorentz manifolds

2013 ◽  
Vol 34 (5) ◽  
pp. 1640-1673 ◽  
Author(s):  
PAOLO PICCIONE ◽  
ABDELGHANI ZEGHIB
Keyword(s):  
Vector Field ◽  
Isometry Group ◽  
Killing Vector ◽  
Connected Components ◽  
Discrete Groups ◽  
Killing Vector Field ◽  
Finite Cover ◽  
Lorentzian Manifolds ◽  
Lorentz Manifolds ◽  
Amalgamated Products

AbstractWe study the geometry of compact Lorentzian manifolds that admit a somewhere timelike Killing vector field, and whose isometry group has infinitely many connected components. Up to a finite cover, such manifolds are products (or amalgamated products) of a flat Lorentzian torus and a compact Riemannian (respectively, lightlike) manifold.

scholarly journals On Finsler spacetimes with a timelike Killing vector field

2018 ◽  
Vol 35 (8) ◽  
pp. 085007 ◽  
Author(s):  
Erasmo Caponio ◽  
Giuseppe Stancarone
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Timelike Killing Vector

scholarly journals On the Equivalence of Electromagnetic and Gock-Transport Synchronization in Noninertial Frames and Gravitational Fields

1985 ◽  
Vol 40 (1) ◽  
pp. 92-95
Author(s):  
Helmut Rumpf
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Gravitational Redshift ◽  
Killing Vector Field ◽  
Gravitational Fields ◽  
Timelike Killing Vector ◽  
Electromagnetic Signals

Synchronization by slow clock transport is shown to be equivalent to that by electromagnetic signals for clocks moving along the trajectories of a timelike Killing vector field, provided the gravitational redshift is corrected for and the synchronization paths are the same.

scholarly journals Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field

2009 ◽  
Vol 267 (1-2) ◽  
pp. 221-233 ◽  
Author(s):  
José Luis Flores ◽  
Miguel Ángel Javaloyes ◽  
Paolo Piccione
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Lorentzian Manifolds

On the geometry of Killing vector field

2019 ◽  
Vol 2019 (2) ◽  
pp. 62-67
Author(s):  
R.A. Ilyasova
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field

Some Properties of Para-Sasakian Manifolds

2017 ◽  
Vol 5 (2) ◽  
pp. 73-78
Author(s):  
Jay Prakash Singh ◽  
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Sasakian Manifold ◽  
Subject Classification ◽  
Killing Vector Field ◽  
Sasakian Manifolds ◽  
Geometric Properties ◽  
Paper Author

In this paper author present an investigation of some differential geometric properties of Para-Sasakian manifolds. Condition for a vector field to be Killing vector field in Para-Sasakian manifold is obtained. Mathematics Subject Classification (2010). 53B20, 53C15.

scholarly journals Cohomological localization of $$ \mathcal{N} $$ = 2 gauge theories with matter

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Guido Festuccia ◽  
Anastasios Gorantis ◽  
Antonio Pittelli ◽  
Konstantina Polydorou ◽  
Lorenzo Ruggeri
Keyword(s):  
Vector Field ◽  
Extended Supersymmetry ◽  
General Framework ◽  
Gauge Theories ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Explicit Result ◽  
Yang Mills ◽  
Self Duality ◽  
Witten Theory

Abstract We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general $$ \mathcal{N} $$ N = 2 gauge theories including hypermultiplets. We present a general framework encompassing equivariant Donaldson-Witten theory and Pestun’s theory on S4 as two particular cases. This is achieved by expressing fields in cohomological variables, whose features are dictated by supersymmetry and require a generalized notion of self-duality for two-forms and of chirality for spinors. Finally, we implement localization techniques to compute the exact partition function of the cohomological theories we built up and write the explicit result for manifolds with diverse topologies.

The exterior derivative as a Killing vector field

1996 ◽  
Vol 93 (1) ◽  
pp. 157-170 ◽  
Author(s):  
J. Monterde ◽  
O. A. Sánchez-Valenzuela
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Exterior Derivative
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