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Matematicheskie Zametki, 2007, Volume 82, Issue 1, Pages 11–13
DOI: https://doi.org/10.4213/mzm3748 (Mi mzm3748) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On Isometric Immersions with Flat Normal Connection of the Hyperbolic Space $L^n$ Into Euclidean Space $E^{n+m}$

D. V. Bolotov

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
Full-text PDF (380 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm3748
Abstract: We prove that the hyperbolic space $L^n$ cannot be immersed in an Euclidean space $E^{n+m}$ with a flat normal connection provided the module of the mean curvature vector is bounded.
Keywords: immersion, mean curvature, principal directions, flat normal connection, hyperbolic space, Grassmanian image, quasiisometric space.
Received: 10.03.2006
Revised: 05.12.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 1, Pages 10–12
DOI: https://doi.org/10.1134/S0001434607070024
Bibliographic databases:
UDC: 514.132
Language: Russian
Citation: D. V. Bolotov, “On Isometric Immersions with Flat Normal Connection of the Hyperbolic Space $L^n$ Into Euclidean Space $E^{n+m}$”, Mat. Zametki, 82:1 (2007), 11–13; Math. Notes, 82:1 (2007), 10–12
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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