Cohomogeneity one three dimensional anti-de Sitter space, proper and nonproper actions

Cohomogeneity One Anti De Sitter Space H_1^3

cohomogeneity one anti de sitter space h_1^3

The central charge in three dimensional anti - de Sitter space

This paper collects the various ways of computing the central charge c = 3l/2G arising in 3d asymptotically anti-de Sitter spaces, in the Chern-Simons formulation. Their similarities and differences are displayed. On leave from Centro de Estudios Cient́ıficos de Santiago, Casilla 16443, Santiago, Chile and, Departamento de F́ısica, Universidad de Santiago, Casilla 307, Santiago, Chile.

Super algebra and Harmonic Oscillator in Anti de Sitter space

The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

‎Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter‎ ‎space or anti-de Sitter space

‎Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de Sitter space or an anti-de‎ ‎Sitter space‎, ‎$S$ and $K$ be the squared norm of the second‎ ‎fundamental form and Gauss-Kronecker curvature of $M^n$‎. ‎If $S$ or‎ ‎$K$ is constant‎, ‎nonzero and $M^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...