Results 71 to 80 of about 1,961,451 (191)
Surfaces and fronts with harmonic-mean curvature one in hyperbolic three-space [PDF]
arXiv, 2005 We investigate surfaces with constant harmonic-mean curvature one (HMC-1 surfaces) in hyperbolic three-space. We allow them to have certain kinds of singularities, and discuss some global properties. As well as flat surfaces and surfaces with constant mean curvature one (CMC-1 surfaces), HMC-1 surfaces belong to a certain class of Weingarten surfaces ...
arxiv
Ruled Surfaces in Three Dimensional Lie Groups [PDF]
arXiv, 2015 Motivated by a number of recent investigations, we define and investigate the various properties of the ruled surfaces depend on three dimensional Lie groups with a bi-variant metric. We give useful results involving the characterizations of these ruled surfaces.
arxiv
Surfaces of revolution of frontals in the Euclidean space [PDF]
, 2018 For Legendre curves, we consider surfaces of revolution of frontals. The surface of revolution of a frontal can be considered as a framed base surface. We give the curvatures and basic invariants for surfaces of revolution by using the curvatures of Legendre curves. Moreover, we give properties of surfaces of revolution with singularities and cones.
arxiv +1 more source
Hermitian spin surfaces with small eigenvalues of the Dolbeault operator [PDF]
arXiv, 2004 We study the compact Hermitian spin surfaces with positive conformal scalar curvature on which the first eigenvalue of the Dolbeault operator of the spin structure is the smallest possible. We prove that such a surface is either a ruled surface or a Hopf surface. We give a complete classification of the ruled surfaces with this property.
arxiv
Similar Ruled Surfaces with Variable Transformations in the Euclidean 3-space [PDF]
arXiv, 2012 In this study, we define a family of ruled surfaces in the Euclidean 3-space E^3 and called similar ruled surfaces. We obtain some properties of these special surfaces and we show that developable ruled surfaces form a family of similar ruled surfaces if and only if the striction curves of the surfaces are similar curves with variable transformation.
arxiv
Surface Pencils in Euclidean 4-space $\mathbb{E}^{4}$ [PDF]
arXiv, 2015 In the present paper we study the problem of constructing a family of surfaces (surface pencils) from a given curve in 4-dimensional Euclidean space $\mathbb{E}^{4}$. We have shown that generalized rotation surfaces in $\mathbb{E}^{4}$ are the special type of surface pencils. Further, the curvature properties of these surfaces are investigated. Finally,
arxiv
Is the surface fluid during surface melting, a study of the surface shear modulus of solid Gallium [PDF]
arXiv, 2019 Melting of 3D solids is often preceded by a melting of their surface, a distinct process which begins at a temperature lower than the melting temperature. Until now, surface melting was investigated mostly by diffraction or other non-contact techniques, revealing how the surface becomes progressively disordered with temperature. We designed a method to
arxiv
Editorial: Biofunctional Applications of Zirconia in Dental Devices
Frontiers in Dental Medicine, 2022 Guang Hong +2 more
doaj +1 more source
A Correspondence Between Maximal Surfaces and Timelike Minimal Surfaces in $\mathbb{L}^3$ [PDF]
arXiv, 2019 We show that to every maximal surface with conelike singularities in Lorentz-Minkowski space $\mathbb{L}^3$ that can be locally represented as the graph of a smooth function, there exists a corresponding timelike minimal surface in $\mathbb{L}^3$. There exists a linear transformation between such a maximal surface and its corresponding timelike minimal
arxiv
Focal surfaces of lightcone framed surfaces in the Lorentz-Minkowski 3-space [PDF]
arXivIn this paper, we consider the differential geometry properties of focal surfaces of lightcone framed surfaces in Lorentz-Minkowski 3-space. In general, a mixed type surface is a connected regular surface with non-empty spacelike and timelike point sets.
arxiv