Results 11 to 20 of about 414 (29)
Examples of noncompact nonpositively curved manifolds
Bulletin of the London Mathematical Society, Volume 53, Issue 4, Page 1061-1071, August 2021., 2021 Abstract We give a simple construction of new, complete, finite volume manifolds M of bounded, nonpositive curvature. These manifolds have ends that look like a mixture of locally symmetric ends of different ranks and their fundamental groups are not duality groups.
Grigori Avramidi +1 more
wiley +1 more source
On the curvature of nonregular saddle surfaces in the hyperbolic and spherical three‐space
Abstract and Applied Analysis, Volume 7, Issue 3, Page 113-123, 2002., 2002 This paper proves that any nonregular nonparametric saddle surface in a three‐dimensional space of nonzero constant curvature k, which is bounded by a rectifiable curve, is a space of curvature not greater than k in the sense of Aleksandrov. This generalizes a classical theorem by Shefel′ on saddle surfaces in 𝔼3.
Dimitrios E. Kalikakis
wiley +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
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
core +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
Applications of a completeness lemma in minimal surface theory to various classes of surfaces
, 2010 We give several applications of a lemma on completeness used by Osserman to show the meromorphicity of Weierstrass data for complete minimal surfaces with finite total curvature.
Umehara, Masaaki, Yamada, Kotaro
core +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
core +1 more source
Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley +1 more source
On some curves with the modified orthogonal frame in Euclidean 3-space
, 2018 In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3 ...
Bukcu, Bahaddin +3 more
core +1 more source