Some remarks on the physical structure of energy-momentum tensors in general relativity
Some remarks on the weak maximum principle.
We obtain a maximum principle at infinity for solutions of a class of nonlinear singular elliptic differential inequalities on Riemannian manifolds under the sole geometrical assumptions of volume growth conditions. In the case of the Laplace-Beltrami operator we relate our results to stochastic completeness and parabolicity of the manifold.
Some remarks on tubular neighborhoods and gluing in Morse-Floer homology
We discuss the gluing principle in Morse-Floer homology and show that there is a gap in the traditional proof of the converse gluing theorem. We show how this gap can be closed by the use of a uniform tubular neighborhood theorem. The latter result is only stated here. Details are given in the authors' paper, Tubular neighborhoods and the Gluing Principle in Floer homology theory, to appear.
Some remarks on vector analysis.
Some representations of affine conformal transformations of Minkowski space.
Some results about Mastrogiacomo cohomology.
Some results for generalized cochains.
Some results on anti-invariant submanifolds of a trans-Sasakian manifold.
Some results on curvature and topology of Finsler manifolds
We investigate the curvature and topology of Finsler manifolds, mainly the growth of the fundamental group. By choosing a new counting function for the fundamental group that does not rely on the generators, we are able to discuss the topic in a more general case, namely, we do not demand that the manifold is compact or the fundamental group is finitely generated. Among other things, we prove that the fundamental group of a forward complete and noncompact Finsler n-manifold (M,F) with nonnegative...
Some results on eigenfunctions on symmetric spaces and eigenspace representations.
Some Results on Finiteness in Plateau's Problem, Part I.
Some Results on Finiteness in Plateau's Problem, Part II.
Some results on -manifolds.
Some results on projectively flat affine surfaces
We focus our attention on projectively flat affine surfaces. First, we classify the affine surfaces with projectively flat induced connection and constant Pick invariant. We also investigate the compact case and study how the geometry at the boundary determines the geometry of the surface.
Some results on the existence of geodesics in static Lorentz manifolds with singular boundary
In this Note we deal with the problem of the existence of geodesies joining two given points of certain non-complete Lorentz manifolds, of which the Schwarzschild spacetime is the simplest physical example.
Some results on the frame bundle of an almost contact metric manifold
Some results on the geometry of convex hulls in manifolds of pinched negative curvature.
Some results on the geometry of full flag manifolds and harmonic maps.
Some results on the geometry of Minkowski plane
In this paper we study the geometry of Minkowski plane and obtain some results. We focus on the curve theory in Minkowski plane and prove that the total curvature of any simple closed curve equals to the total Landsberg angle. As the result, the sum of oriented exterior Landsberg angles of any polygon is also equal to the total Landsberg angle, and when the Minkowski plane is reversible, the sum of interior Landsberg angles of any -gon is times of the total Landsberg angle. Our results generalizes...
Some Results on the Occurrence of Compact Minimal Submanifolds.