Results 31 to 40 of about 191,981 (275)

Families of spherical surfaces and harmonic maps [PDF]

, 2018
We study singularities of constant positive Gaussian curvature surfaces and determine the way they bifurcate in generic 1-parameter families of such surfaces. We construct the bifurcations explicitly using loop group methods.
Brander, David, Tari, Farid
core   +2 more sources

Classification results on surfaces in the isotropic 3-space [PDF]

, 2016
The isotropic 3-space I^3 which is one of the Cayley--Klein spaces is obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we give several classifications on the surfaces in I^3
Aydin, Muhittin Evren
core   +2 more sources

Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary [PDF]

, 2007
We investigate the zero temperature structure of a crystalline monolayer constrained to lie on a two-dimensional Riemannian manifold with variable Gaussian curvature and boundary.
D. P. Hardin, D. R. Nelson, E. B. Saff, G. C. Onwubolu, H. Hedenmalm, J. J. Thomson, Luca Giomi, M. D. Carmo, M. J. Bowick, Mark Bowick   +9 more
core   +3 more sources

Prescribing Gaussian curvature on S2 [PDF]

Duke Mathematical Journal, 1990
What functions K can be the Gaussian curvature of a metric on \(S^ 2\) which is pointwise conformal to the standard metric? It is well known that this problem reduces to solving the nonlinear PDE \(\Delta u=1- Ke^{2u}\) where \(\Delta\) is the Laplacian on \(S^ 2\) with its standard metric.
openaire   +3 more sources

‘Classical’ coherent state generated by curved surface

New Journal of Physics, 2022
Analogous coherent states are deduced from classical optical fields on curved surface in this paper. The Gaussian laser beam, as a fundamental mode, cannot be adequately simulated by coherent states due to their inherent diffraction in flat space. But it
Weifeng Ding, Zhaoying Wang
doaj   +1 more source

Geometrical Aspect of Compressibility Critical Exponent

Frontiers in Physics, 2022
Critical exponent γ ⪰ 1.1 characterizes the behavior of the mechanical compressibility of a real fluid when the temperature approaches the critical one.
J. S. Yu, W. K. Du, Q. H. Liu
doaj   +1 more source

Smooth Random Surfaces from Tight Immersions?

, 1993
We investigate actions for dynamically triangulated random surfaces that consist of a gaussian or area term plus the {\it modulus} of the gaussian curvature and compare their behavior with both gaussian plus extrinsic curvature and ``Steiner'' actions ...
A. Billoire, A. M. Polyakov, A. Polyakov, B. Durhuus, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, D. A. Johnston, D. Boulatov, H. Kleinert, J. Ambjorn, J. Ambjorn, J. Ambjorn, J. Ambjorn, J. Ambjorn, J. Jurkiewicz, M. Bowick, R. Harnish, R. Renken, R. V. Ambartzumian, S. Catterall, S. Catterall, S. Catterall, T. Willmore, W. Helfrich   +32 more
core   +1 more source

Bridge deck disease detection and screening method based on point cloud Gaussian curvature field

Journal of Highway and Transportation Research and Development
In order to efficiently and automatically detect and classify bridge deck diseases, a method using Gaussian curvature to detect bridge deck surface diseases is proposed.
Liang Tang, Xiangyu Zhang, Tong Wu, Yijun Liu, Xinyu Li   +4 more
doaj   +1 more source

Geometric background charge: dislocations on capillary bridges

, 2012
Recent experiments have shown that colloidal crystals confined to weakly curved capillary bridges introduce groups of dislocations organized into `pleats' as means to relieve the stress caused by the Gaussian curvature of the surface.
Irvine, William, Vitelli, Vincenzo
core   +1 more source

On Total Shear Curvature of Surfaces in E^{n+2}

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺².
Kadri Arslan, Betül Bulca
doaj   +1 more source