Results 51 to 60 of about 2,241,688 (305)

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

Characteristic cycles and the microlocal geometry of the Gauss map, II [PDF]

Journal für die Reine und Angewandte Mathematik, 2018
We show that any Weyl group orbit of weights for the Tannakian group of semisimple holonomic 𝒟 {{\mathscr{D}}} -modules on an abelian variety is realized by a Lagrangian cycle on the cotangent bundle.
T. Krämer
semanticscholar   +1 more source

Cubic threefolds, Fano surfaces and the monodromy of the Gauss map [PDF]

, 2016
The Tannakian formalism allows to attach to any subvariety of an abelian variety an algebraic group in a natural way. The arising groups are closely related to moduli questions such as the Schottky problem, but their geometric interpretation is still ...
T. Krämer
semanticscholar   +2 more sources

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

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

Tubular Surface Having Pointwise 1-type Gauss Map in Euclidean 4-Space

International Electronic Journal of Geometry, 2019
In this paper, we deal with a tubular surface in Euclidean 4 -space E 4 . We study this surface with respect to its Gauss map. We show that there is not any tubular surface having harmonic Gauss map and we give the complete classification of tubular ...
I. Kişi, G. Öztürk
semanticscholar   +1 more source

The degree of the Gauss map of the theta divisor [PDF]

, 2016
We study the degree of the Gauss map of the theta divisor of principally polarised complex abelian varieties. We use this to obtain a bound on the multiplicity of the theta divisor along irreducible components of its singular locus, and apply this bound ...
G. Codogni, S. Grushevsky, E. Sernesi
semanticscholar   +1 more source

On the thermodynamic formalism for the Gauss map [PDF]

Communications in Mathematical Physics, 1990
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openaire   +3 more sources