Quantitative assessment of the level of agreement between model-predicted and fieldobserved geologic data is crucial to calibrate and validate numerical landscape models. Application of Geographic Information Systems (GIS) provides an opportunity to integrate model and field data and quantify their levels of correspondence. Napieralski et al. [Comparing predicted and observed spatial boundaries...

in this paper, we obtain a necessary and sufficient condition for a conformal mapping between two weyl manifolds to preserve einstein tensor. then we prove that some basic curvature tensors of $w_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. also, we obtained the relation between the scalar curvatures of the weyl manifolds r...

The prescription of the AdS/CFT correspondence is refined by using a regularization procedure, which makes it possible to calculate the divergent local terms in the CFT two-point function. We present the procedure for the example of the scalar field. It has been stated in most papers on this subject that the correspondence between a fields theory on anti-de Sitter space (AdS) and a conformal fi...