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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
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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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 8, Pages 1–10
DOI: https://doi.org/10.3103/S1066369X12080014
Bibliographic databases:
Document Type: Article
UDC: 514.757
Language: Russian
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
Citation in format AMSBIB
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\by V.~S.~Bolodurin
\paper Geometrical properties of point correspondences of three conformal spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 8
\pages 3--14
\mathnet{http://mi.mathnet.ru/ivm8726}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3077482}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 8
\pages 1--10
\crossref{https://doi.org/10.3103/S1066369X12080014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866252317}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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