We show that the problem of stabilization of extra dimensions in Kaluza-Klein type cosmology may be solved in a theory of gravity involving high-order curvature invariants. The method suggested (employing a 3 slow-change approximation) can work with rather a general form of the gravitational action. As examples, we consider pure gravity with Lagrangians quadratic and cubic in the scalar curvatu...

In this article we compute the black hole entropy by finding a classical central charge of the Virasoro algebra of a Liouville theory using the Cardy formula. This is done by performing a dimensional reduction of the Einstein Hilbert action with the ansatz of spherical symmetry and writing the metric in conformally flat form. We obtain two coupled field equations. Using the near horizon approxi...

Abstract Research on climate change was conducted in Bali, Indonesia, using the Conformal Cubic Atmospheric Model (CCAM), which works with Representative Concentration Pathway (RCP) 4.5. The history data means average from 1971 to 2000, projections RCP4.5 scenario 2040 2069, and anomaly (climate change) is minus history. results represent of temperature between 22.5-27.5 0 C projection 25.5-29....

This survey intends to introduce the reader to holonomy theory of Cartan connections. Special attention is given to the normal conformal Cartan connection, uniquely defined for a class of conformally equivalent metrics, and to its holonomy group the ’conformal holonomy group’. We explain the relation between conformal holonomy group and existence of Einstein metrics in the conformal class as we...

We study the finite-size corrections of the dimer model on∞×N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of N , and show that, because of certain non-local features present in the model, a change of parity ofN induces a change of boundary condition. Taking a careful account of this, the...

Conformal geometry has deep roots in pure mathematics. It is the intersection of complex analysis, Riemann surface theory, algebraic geometry, differential geometry and algebraic topology. Computational conformal geometry plays an important role in digital geometry processing. Recently, theory of discrete conformal geometry and algorithms of computational conformal geometry have been developed....