|
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 8, Pages 3–14
(Mi ivm8726)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Geometrical properties of point correspondences of three conformal spaces
V. S. Bolodurin Chair of Geometry, Orenburg State Pedagogical University, Orenburg, Russia
Abstract:
We study point correspondences of three conformal spaces on the base of G. F. Laptev invariant methods. We define the main equations and geometrical objects of correspondences. We construct invariant normalizations of spaces, describe the main tensors of correspondences, establish the connection of the correspondences under consideration with the theory of multidimensional $3$-webs, and obtain the torsion and curvature tensors for correspondences. For certain particular cases we prove existence theorems.
Keywords:
point correspondence, invariant normalization, torsion and curvature tensors, multidimensional $3$-webs.
Received: 27.06.2011
Citation:
V. S. Bolodurin, “Geometrical properties of point correspondences of three conformal spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 8, 3–14; Russian Math. (Iz. VUZ), 56:8 (2012), 1–10
Linking options:
https://www.mathnet.ru/eng/ivm8726 https://www.mathnet.ru/eng/ivm/y2012/i8/p3
|
Statistics & downloads: |
Abstract page: | 141 | Full-text PDF : | 39 | References: | 28 | First page: | 5 |
|