Difference between revisions of "Virtually-asymptotic net"
From Encyclopedia of Mathematics
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| − | A [[Net (in differential geometry)|net (in differential geometry)]] on a surface | + | <!-- |
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| + | A [[Net (in differential geometry)|net (in differential geometry)]] on a surface $ V _ {2} $ | ||
| + | in Euclidean space which, on being deformed somewhat ( $ f: V _ {2} \rightarrow V _ {2} ^ {*} $), | ||
| + | becomes an [[Asymptotic net|asymptotic net]] of the surface $ V _ {2} ^ {*} $. | ||
| + | A [[Voss surface|Voss surface]] is distinguished by the presence of a conjugate virtually-asymptotic net. | ||
====References==== | ====References==== | ||
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> V.I. Shulikovskii, "Classical differential geometry in a tensor setting" , Moscow (1963) (In Russian)</TD></TR></table> | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> V.I. Shulikovskii, "Classical differential geometry in a tensor setting" , Moscow (1963) (In Russian)</TD></TR></table> | ||
Latest revision as of 08:28, 6 June 2020
A net (in differential geometry) on a surface $ V _ {2} $
in Euclidean space which, on being deformed somewhat ( $ f: V _ {2} \rightarrow V _ {2} ^ {*} $),
becomes an asymptotic net of the surface $ V _ {2} ^ {*} $.
A Voss surface is distinguished by the presence of a conjugate virtually-asymptotic net.
References
| [1] | V.I. Shulikovskii, "Classical differential geometry in a tensor setting" , Moscow (1963) (In Russian) |
How to Cite This Entry:
Virtually-asymptotic net. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Virtually-asymptotic_net&oldid=49152
Virtually-asymptotic net. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Virtually-asymptotic_net&oldid=49152
This article was adapted from an original article by V.T. Bazylev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article