The behaviour of the total twist and self-linking number of a closed space curve under inversions.
The Bend of Bernstein Polynomials.
The Gauss-Bonnet theorem for Cayley-Klein geometries of dimension two.
The indicator of contact boundaries for an integral geometry problem.
The isoperimetric inequality and the total absolute curvature of closed curves in spheres.
The mean curvature of a Lipschitz continuous manifold
The paper is devoted to the description of some connections between the mean curvature in a distributional sense and the mean curvature in a variational sense for several classes of non-smooth sets. We prove the existence of the mean curvature measure of by using a technique introduced in [4] and based on the concept of variational mean curvature. More precisely we prove that, under suitable assumptions, the mean curvature measure of is the weak limit (in the sense of distributions) of the mean...
The Radon Transform for Forms of Type (1, 1) on a Complex Projective Space.
The Radon Transform for Forms of Type (1, 1) on Complex Projective Space (Erratum).
The Reverse Isoperimetric Problem for Gaussian Measure.
The sharp isoperimetric inequality for minimal surfaces with radially connectred boundary in hyperbolic space.
The stable homology of flat torus.
The Trapping Property of Totally Geodesic Hyperplanes in Hadamard Spaces.
Total mean curvature and closed geodesics.
Translative integral formulae for convex bodies.
Twisted spherical means in annular regions in and support theorems
Let be the class of all continuous functions on the annulus in with twisted spherical mean whenever and satisfy the condition that the sphere and ball In this paper, we give a characterization for functions in in terms of their spherical harmonic coefficients. We also prove support theorems for the twisted spherical means in which improve some of the earlier results.