Results 41 to 50 of about 2,083,931 (311)
The Gauss map of a free boundary minimal surface [PDF]
Communications in analysis and geometry, 2017 In this paper, we study the Gauss map of a free boundary minimal surface. The main theorem asserts that if components of the Gauss map are eigenfunctions of the Jacobi-Steklov operator, then the surface must be rotationally symmetric.
Hung Tran
semanticscholar +1 more source
canal surface, Gauss map, Laplace operator, pseudo hyperbolic sphere, Minkowski 3-space
AIMS Mathematics, 2021 In this paper, we mainly investigate long-time behavior for viscoelastic equation with fading memory $ u_{tt}-\Delta u_{tt}-\nu \Delta u+\int_{0}^{+\infty}k'(s)\Delta u(t-s)ds+f(u) = g(x).
Jiangwei Zhang, Yongqin Xie
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
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 +5 more
doaj +1 more source
Harmonic maps in unfashionable geometries
, 2001 We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
core +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
Which Chromium–Sulfur Compounds Exist as 2D Material?
Advanced Functional Materials, EarlyView.2D chromium sulfides synthesized using molecular beam epitaxy on graphene. Structural characterization reveals two novel 2D materials, Cr2S3‐2D, which lacks a direct bulk counterpart, and Cr223S${\rm Cr}_{2\frac{2}{3}}{\rm S}$4‐2D, a minimum thickness version of Cr5S6. However, attempts to synthesize CrS2 are unsuccessful. Both new 2D phases are stable
Affan Safeer +5 more
wiley +1 more source
A Gauss-Kuzmin-Lévy theorem for a certain continued fraction
International Journal of Mathematics and Mathematical Sciences, 2004 We consider an interval map which is a generalization of the well-known Gauss transformation. In particular, we prove a result concerning the asymptotic behavior of the distribution functions of this map.
Hei-Chi Chan
doaj +1 more source
Classification of Complete Degenerate Stationary Surfaces in
Mathematics, 2022 In this paper, we classify the complete degenerate stationary surfaces in R3,1 with injective Gauss maps.
Li Ou, Ling Yang
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Harmonic maps and constant mean curvature surfaces in $\H^2 \times \R$ [PDF]
, 2005 We introduce a hyperbolic Gauss map into the Poincare disk for any surface in H^2xR with regular vertical projection, and prove that if the surface has constant mean curvature H=1/2, this hyperbolic Gauss map is harmonic.
Fernandez, Isabel, Mira, Pablo
core +2 more sources