Problèmes elliptiques, surfaces de Riemann et structures symplectiques
On donne un développement asymptotique du profil iso pé ri mé tri que de muni d'une métrique riemannienne périodique, et des conséquences pour le problème de la forme d'équilibre des cristaux.
We report on progress towards finding a local expression for radiation reaction for a particle orbiting a Kerr black hole. The Dirac-Gal'tsov approach is described. For the case of a scalar particle in a circular orbit of a Schwarzschild black hole, an explicit calculation is done via this method and shown to be in agreement with overall energy conservation. A possible approach to the case of more general orbits is also discussed.
The object of the present paper is to study -projectively flat and -projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.