Results 11 to 20 of about 483 (49)
Ramification estimates for the hyperbolic Gauss map [PDF]
, 2008 We give the best possible upper bound on the number of exceptional values and the totally ramified value number of the hyperbolic Gauss map for pseudo-algebraic constant mean curvature one surfaces in the hyperbolic three-space and some partial results ...
Kawakami, Yu
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THE VECTOR FIELDS ACROSS THE TANGENT BUNDLE TO A SPINNING 2-SPHERE
International Journal of Apllied Mathematics, 2018 Assuming a spinning 2-sphere in the Euclidean 3-space that is observed by a frame at any exterior point, we deduce the Coriolis effect, which asserts that the rotational directions of the flows on the Earth surface are opposite across the Equator. By the
G. Light
semanticscholar +1 more source
Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space
Open Mathematics, 2016 In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.
Chen Liang
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A characterization of regular saddle surfaces in the hyperbolic and spherical three‐space
Abstract and Applied Analysis, Volume 7, Issue 7, Page 349-355, 2002., 2002 We prove that the class of regular saddle surfaces in the hyperbolic or spherical three‐space coincides with the class of regular surfaces with curvature not greater than the curvature of the surrounding space. We also show that a similar result for nonregular surfaces is incorrect.
Dimitrios E. Kalikakis
wiley +1 more source
Weighted minimal translation surfaces in the Galilean space with density
Open Mathematics, 2017 Translation surfaces in the Galilean 3-space G3 have two types according to the isotropic and non-isotropic plane curves. In this paper, we study a translation surface in G3 with a log-linear density and classify such a surface with vanishing weighted ...
Yoon Dae Won
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The Forward Kinematics of Rolling Contact of Spacelike Surfaces in Lorentzian 3-Space
Cumhuriyet Science Journal, 2018 In thispaper, we investigate the forward kinematics of spin-rolling motion withoutsliding of one spacelike surface on another spacelike surface along thespacelike contact trajectory curves of the surfaces in Lorentzian 3-space.
Mehmet Aydınalp +2 more
doaj +1 more source
, 2015 The main topic of this paper is to show that in the 3-dimensional Minkowski spacetime, the torsion of a null curve is equal to the Schwarzian derivative of a certain function appearing in a description of the curve.
Olszak, Zbigniew
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Group-theoretic Approach for Symbolic Tensor Manipulation: II. Dummy Indices
, 2001 Computational Group Theory is applied to indexed objects (tensors, spinors, and so on) with dummy indices. There are two groups to consider: one describes the intrinsic symmetries of the object and the other describes the interchange of names of dummy ...
B. F. SVAITER +2 more
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Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space
, 2015 In the present paper, Smarandache curves for some special curves in the three- dimensional Galilean space G 3 are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced.
H. Abdelaziz, Prof. M. Khalifa Saad
semanticscholar +1 more source
Isophote curves on timelike surfaces in Minkowski 3-space
, 2012 Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. In this paper, isophote curves are studied on timelike surfaces in Minkowski 3-space E31.
Ali +25 more
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