Results 21 to 30 of about 2,226,189 (161)

A note on surfaces with prescribed oriented Euclidean Gauss map

International Journal of Mathematics and Mathematical Sciences, 2005
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the determination of a conformal immersion by its Gauss map.
Ricardo Sa Earp, Eric Toubiana
doaj   +1 more source

Stable Plane-Gauss Maps on Closed Orientable Surfaces

Trends in Computational and Applied Mathematics, 2023
  The aim of this paper is to study the couple of stable plane Gauss maps f = (f2, f3): M→ R^2×S^2 from a global point of view, where M is a smooth closed orientable surface, f2 is a projection and f3 is Gauss map.
C. M. de Jesus, P. D. Romero, L. J. Santos   +2 more
doaj   +1 more source

Classifications of Canal Surfaces with the Gauss Maps in Minkowski 3-Space

Mathematics, 2020
In this work, we study the canal surfaces foliated by pseudo spheres S12 along a Frenet curve in terms of their Gauss maps in Minkowski 3-space. Such kind of surfaces with pointwise 1-type Gauss maps are classified completely.
Jinhua Qian, Xueqian Tian, Xueshan Fu, Young Ho Kim   +3 more
doaj   +1 more source

The Gauss Map and Nonholomorphic Harmonic Maps [PDF]

Proceedings of the American Mathematical Society, 1983
J. Eells and J. C. Wood [ 2 ] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for ...
openaire   +1 more source

The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature

Anais da Academia Brasileira de Ciências, 2013
In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R.
PEDRO A. HINOJOSA, GILVANEIDE N. SILVA
doaj   +1 more source

Isothermic Surfaces and the Gauss Map [PDF]

Proceedings of the American Mathematical Society, 1988
We give a necessary and sufficient condition for the Gauss map of an immersed surface M M in
openaire   +2 more sources

A study on efficient chaotic modeling via fixed-memory length fractional Gauss maps [PDF]

Iranian Journal of Numerical Analysis and Optimization
This paper investigates the dynamic behavior of the fractional Gauss map with fixed memory length, highlighting its potential for efficient chaotic modeling.
A. Bellout, R. Bououden, S.E.I. Bouzeraa, M. Berkal   +3 more
doaj   +1 more source

Numerical Simulation of Temperature Field and Melt Pool Characteristics of CP-Ti Manufactured by Laser Powder Bed Fusion

Metals, 2022
A coupled heat source model that combined a Gauss surface heat source with a Gauss cylindrical volumetric heat source was introduced to simulate temperature field distribution and melt pool characteristics using a finite element simulation (FEM) method ...
Kai Guo, Yunping Ji, Yiming Li, Xueliang Kang, Huiyi Bai, Huiping Ren   +5 more
doaj   +1 more source

Differential Geometry of Identity Maps: A Survey

Mathematics, 2020
An identity map idM:M→M is a bijective map from a manifold M onto itself which carries each point of M return to the same point. To study the differential geometry of an identity map idM:M→M, we usually assume that the domain M and the range M admit ...
Bang-Yen Chen
doaj   +1 more source

Classification of Complete Degenerate Stationary Surfaces in ${\mathbb{R}}^{3,1}$ Whose Gauss Maps Are Injective

Mathematics, 2022
In this paper, we classify the complete degenerate stationary surfaces in R3,1 with injective Gauss maps.
Li Ou, Ling Yang
doaj   +1 more source