Related papers: On Serini's relativistic theorem

A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.

A special theorem related to the Fagnano's problem is proved and an example of the theorem is shown in a golden rectangle.

In this short note we discuss some recent results about two-positive Ricci curvature and their applications to positive Einstein curvature.

In this paper we present a surprisingly short proof of Minkowski's second theorem. The author hopes there is no mistake in it, though the argument seems to be too plain to contain one. Also, we apply the main construction of the proof to…

We show that Isserlis' theorem follows as a corollary to the invariant tensor theorem for isotropic tensors.

In this note I provide two extensions of a particular case of the classical Poncelet theorem.

The aim of this chapter is to present an introduction and also an overview of some of the most relevant results concerning positivity energy theorems in General Relativity. These theorems provide the answer to a long standing problem that…

A general theorem on fibers of singular sets is presented.

A short proof to a recent theorem of Giambruno and Mishchenko is given in this note.

A proof of Sendov's conjecture is given.

In this note a far extension of the Banach fixed point theorem is proved.

In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.

In this paper we prove a generalization of famous Larchr's theorem concerning good lattice points.

In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.

The purpose of this paper is to present a generalization of Forelli's theorem. In particular, we prove an all dimensional version of the two-dimensional theorem of Chirka of 2005.

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

In this paper, firstly the axis of a slant helix is found with a method. Secondly, the theorem which characterizes a unit speed curve to be a slant helix is proved in detail. The importance of this theorem is stemed from that it has led to…

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

If we move at the same speed of a spatially limited train of an undulating metric tensor, a famous Serini's theorem will assure us that this train represents actually a flat spacetime region.

We obtain some results related to Romanoff's theorem.