On infinitesimal transformations of almost-Kählerian space and K-space

On Almost Discrete Space

Let C(X) be the ring of real continuous functions on a completely regular Hausdorff space. In this paper an almost discrete space is determined by the algebraic structure of C(X). The intersection of essential weak ideal in C(X) is also studied.

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

A remark about the Lie algebra of infinitesimal conformal transformations of the Euclidian space

Infinitesimal conformal transformations of IRn are always polynomial and finitely generated when n > 2. Here we prove that the Lie algebra of infinitesimal conformal polynomial transformations over IRn, n ≥ 2, is maximal in the Lie algebra of polynomial vector fields. When n is greater than 2 and p, q are such that p+ q = n, this implies the maximality of an embedding of so(p + 1, q + 1, IR) in...

Fields of Lorentz Transformations on Space-time

Fields of Lorentz transformations on a space–time M are related to tangent bundle self isometries. In other words, a gauge transformation with respect to the −+ ++ Minkowski metric on each fibre. Any such isometry L : T (M)→ T (M) can be expressed, at least locally, as L = eF where F : T (M) → T (M) is antisymmetric with respect to the metric. We find there is a homotopy obstruction and a diffe...

‎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...