[5] viXra:1008.0081 [pdf] submitted on 28 Aug 2010
Authors: Catalin Barbu
Comments: 3 pages
In this note, we present a proof to the Smarandache's Minimum Theorem in the Einstein
Relativistic Velocity Model of Hyperbolic Geometry.
Category: Geometry
[4] viXra:1008.0043 [pdf] submitted on 16 Aug 2010
Authors: Jeidsan A. C. Pereira
Comments: 10 Pages.
Given a vector space V of dimension n and a natural number k < n, the
grassmannian Gk(V) is defined as the set of all subspaces W ⊂ V such that
dim(W) = k. In the case of V = Rn, Gk(V) is the set of k-fl
ats in Rn and
is called real grassmannian [1]. Recently the study of these manifolds has
found applicability in several areas of mathematics, especially in Modern
Differential Geometry and Algebraic Geometry. This work will build two
differential structures on the real grassmannian, one of which is obtained as a
quotient space of a Lie group [1], [3], [2], [7]
Category: Geometry
[3] viXra:1008.0037 [pdf] submitted on 12 Aug 2010
Authors: Marian Dincă
Comments: 2 Pages.
In this paper it is given proof Yff's conjecture using convexity arguments.
Category: Geometry
[2] viXra:1008.0031 [pdf] submitted on 11 Aug 2010
Authors: Ion Pătraşcu, Florentin Smarandache
Comments: 3 pages
In [1] we proved, using barycentric coordinates, the following theorem
Category: Geometry
[1] viXra:1008.0030 [pdf] submitted on 11 Aug 2010
Authors: Marian Dincă
Comments: 4 Pages.
In this paper an elementary proof of the Wolstenholme-Lenhard ciclic
inequality for real numbers and L.Fejes T&oactute;th conjecture( equivalent by Erdis-Mordell
inequality for polygon) is given, using a remarcable identity
We give the following:
Category: Geometry