We study smooth maps t: M → Gc 2 of a Riemann surface M into the Grassmannian Gc 2 of oriented 2-planes in E2+c and determine necessary and sufficient conditions on t in order that it be the Gauss map ...

Let M be a connected oriented surface and let Gc 2 be the Grassmannian of oriented 2-planes in Euclidean (2 + c)-space, E2+c. Smooth maps t: M → Gc 2 are studied to determine whether or not they are ...

The singular set of stable maps from closed surfaces M to the plane, according to Whitney theory, consists of a finite number of closed curves in M, possibly containing isolated cusp points. The ...

Abstract: The Gauss map is a fundamental concept in surface differential geometry. Although the algorithm of the Gauss map for free-form surface is current more matures, it often can not be used when ...

ABSTRACT The aim of this paper is to study the couple of stable plane Gauss maps f = ( f 2 , f 3 ) : M → ℝ 2 × S 2 from a global point of view, where M is a smooth closed orientable surface, f 2 is a ...

11:00 -12:00 – Atsushi Ito: On Gauss maps in positive characteristic. The Gauss map of a variety in a projective space is a rational map from the variety to a Grassmannian. In this talk, I will ...

In this paper we give some examples of surfaces in H³ with conformal normal Gauss map with respect to the second conformal structure and prove some global properties. hyperbolic space; conformal ...

A finite-type immersion or smooth map is a nice tool to classify submanifolds of Euclidean space, which comes from eigenvalue problem of immersion. The notion of generalized 1-type is a natural ...

The Gauss map (or continued fraction map) is an important dissipative one-dimensional discrete-time dynamical system that exhibits chaotic behavior, and it generates a symbolic dynamics consisting of ...

Abstract: Multimedia data are communicated to different servers over the network. Since the network is public, the data security is highly required Data security is mostly done either by cryptographic ...