نتایج جستجو برای: conformal vector field

تعداد نتایج: 976922  

2017
J. M. Harrison H. J. Landau Larry A. Shepp

Suppose given a smooth, compact planar region S and a smooth inward pointing vector field on ∂S. It is known that there is a diffusion process Z which behaves like standard Brownian motion inside S and reflects instantaneously at the boundary in the direction specified by the vector field. It is also known Z has a stationary distribution p. We find a simple, general explicit formula for p in te...

2002
Alan Barnes Brian Edgar Raffaele Rani

Some years ago Koutras presented a method of constructing a conformal Killing tensor from a pair of orthogonal conformal Killing vectors. When the vector associated with the conformal Killing tensor is a gradient, a Killing tensor (in general irreducible) can then be constructed. In this paper it is shown that the severe restriction of orthogonality is unnecessary and thus it is possible that m...

1998
Shoichi ICHINOSE Sergei D. ODINTSOV

Abstract The conformal anomaly for 4D gravity-matter theories, which are non-minimally coupled with the dilaton, is systematically studied. Special care is taken for: rescaling of fields, treatment of total derivatives, hermiticity of the system operator and choice of measure. Scalar, spinor and vector fields are taken as the matter quantum fields and their explicit conformal anomalies in the g...

Journal: :International Journal of Mathematics and Mathematical Sciences 2021

We investigate a class of locally conformal almost Kähler structures and prove that, under some conditions, this is subclass structures. show that manifold admits canonical foliation whose leaves are hypersurfaces with the mean curvature vector field proportional to Lee field. The geodesibility also characterized, their minimality coincides incompressibility along leaves.

Journal: :Journal of the Korean Mathematical Society 2006

Journal: :Journal of Geometry and Physics 2011

Journal: :Results in Mathematics 2022

Abstract We give conditions for a conformal vector field to be tangent null hypersurface. particularize two important cases: Killing and closed field. In the first case, we obtain result ensuring that hypersurface is horizon. second one, gives rise foliation of manifold by totally umbilical hypersurfaces with constant mean curvature which can spacelike, timelike or null. prove several results e...

2012
Martin Eklund Ulf Norinder Scott Boyer Lars Carlsson

QSAR modeling is a method for predicting properties, e.g. the solubility or toxicity, of chemical compounds using statistical learning techniques. QSAR is in widespread use within the pharmaceutical industry to prioritize compounds for experimental testing or to alert for potential toxicity. However, predictions from a QSAR model are difficult to assess if their prediction intervals are unknown...

Journal: :Differential Geometry and its Applications 2013

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