6 papers
Integral Geometry on the Lobachevsky Plane and the Conformal Wess-Zumino-Witten Model of Strings on an ADS3 Background
Bogdan G. Dimitrov
The main purpose of the report is to provide some argumentation that three seemingly distinct approaches of 1. Giveon, Kutasov and Seiberg (hep-th/9806194); 2. Hemming, Keski-Vakku…
Some Algebro-Geometric Aspects of The SL(2, R) Wess-Zumino-Witten Model of Strings on an ADS Background
Bogdan G. Dimitrov
The SL(2, R) WZW model of strings on an ADS3 background is investigated in the spirit of J.Maldacena's and H.Ooguri's approach (hep-th/0001053) and (hep-th/0005183). Choosing a sta…
Projective Formalism and Some Methods from Algebraic Geometry in the Theory of Gravitation
B. G. Dimitrov
The purpose of this paper is to propose the implementation of some methods from algebraic geometry in the theory of gravitation, and more especially in the variational formalism. I…
Weyl's spaces with shear-free and expansion-free conformal Killing vectors and the motion of a free spinless test particle
S. Manoff, B. Dimitrov
Conditions for the existence of shear-free and expansion-free non-null vector fields in spaces with affine connections and metrics are found. On their basis Weyl's spaces with shea…
A Modified Variational Principle in Relativistic Hydrodynamics. I.Commutativity and Noncommutativity of the Variation Operator with the Partial Derivative
B. G. Dimitrov
A model is proposed, according to which the metric tensor field in the standard gravitational Lagrangian is decomposed into a projection (generally - with a non-zero covariant deri…
A Modified Variational Principle in Relativistic Hydrodynamics. II. Variations of the vector field and the projection tensor in the general case and under definite assumptions
B. G. Dimitrov
The purpose of the paper is to develop further a projection variational approach in relativistic hydrodynamics. The approach, previously proposed in [gr-qc/9908032], is based on th…