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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1996, Volume 3, Number 1/2, Pages 118–124
(Mi jmag486)
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Multidimensional $k$-helical surfaces in the Euclidean space $E^m$
V. T. Lisitsa Kharkiv State University
Abstract:
$k$-helical $n$-dimenslonal surfaces in Euclidean space $E^m$ are defined. It is proved that a complete $k$-helical surface separated from zero negative sectional curvature in the Euclidean space $E^m$ does not exist.
Received: 09.04.1994
Citation:
V. T. Lisitsa, “Multidimensional $k$-helical surfaces in the Euclidean space $E^m$”, Mat. Fiz. Anal. Geom., 3:1/2 (1996), 118–124
Linking options:
https://www.mathnet.ru/eng/jmag486 https://www.mathnet.ru/eng/jmag/v3/i1/p118
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