Stochastic Loewner evolutions (SLEκ) are random growth processes of domains in the two dimensional upper half plane which represent critical clusters. We elaborate and develop a relation between SLEκ evolutions and conformal field theories (CFT) which is based on a group theoretical formulation of SLEκ processes and on the identification of the proper hull boundary states. This allows us to def...

The object of the present paper is to characterize class Kenmotsu manifolds which admits conformal $$\eta $$ -Ricci soliton. Here, we have investigated nature soliton within framework manifolds. It shown that an -Einstein manifold admitting Einstein one. Moving further, considered gradient on and established a relation between potential vector field Reeb field. Next, it proved under certain con...

Let (M, g) be a spacetime which admits a complete timelike conformal Killing vector field K. We prove that (M, g) splits globally as a standard conformastationary spacetime with respect to K if and only if (M, g) is distinguishing (and, thus causally continuous). Causal but non-distinguishing spacetimes with complete stationary vector fields are also exhibited. For the proof, the recently solve...

In this paper we prove a decomposition formula for generalized theta functions which is motivated by what in conformal field theory is called the factorization rule. A rational conformal field theory associates a finite dimensional vector space (called the space of conformal blocks) to a pointed nodal projective algebraic curve over C whose marked points are labelled by elements of a certain fi...

background: we aimed to compare field-in-field technique (fif) with conformal tangential field radiotherapy (crt) in terms of dosimetric benefits for early stage breast cancer radiotherapy. materials and methods: twenty consecutive left-side breast cancer patients who underwent breast-conserving surgery were included to the study. for each patient, two different treatment plans were created for...

We consider germs of conformal mappings tangent to the identity at the origin in C. We construct a germ of a homeomorphism which is a C∞ diffeomorphism except at the origin conjugating these holomorphic germs with the time-one map of the vector field V (z) = zm ∂ ∂z . We then show that, in the case m = 2, for a germ of a homeomorphism which is real-analytic in a punctured neighborhood of the or...

The aim of the present paper is to study properties of Quasi conformally flat LP-Sasakian manifolds with a coefficient α. In this paper, we prove that a Quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α is an η−Einstein and in a quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α if the scalar curvature tensor is constant then M ...