Results 11 to 20 of about 847 (44)
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
doaj +1 more source
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
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
, 2015 . Studied is the problem of degeneracy of mechanical systems the configuration space of which is the three-dimensional sphere, the elliptic space, i.e., the quotient of that sphere modulo the antipodal identification, and finally, the three-dimensional ...
J. Sławianowski, B. Gołubowska
semanticscholar +1 more source
SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE
Proceedings of the Edinburgh Mathematical Society, 2004 We study the differential geometry of hypersurfaces in hyperbolic space. As an application of the theory of Lagrangian singularities, we investigate the contact of hypersurfaces with families of hyperspheres or equidistant hyperplanes.
S. Izumiya, D. Pei, Masatomo Takahashi
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
doaj +1 more source
On a generalization of Lissajous curves and its applications
, 2016 In the paper we consider a generalization of classical Lissajous curves to the situation where corresponding differential forms involve square roots of quartics.
P. Krasoń +3 more
semanticscholar +1 more source
Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers
Open Mathematics, 2018 This article is motivated by a problem posed by David A. Singer in 1999 and by the classical Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane 𝕃2 whose curvature is expressed in terms of the Lorentzian ...
Castro Ildefonso +2 more
doaj +1 more source
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, M. Khalifa Saad
semanticscholar +1 more source
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
core +1 more source