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 Mat. Zametki, 1972, Volume 12, Issue 3, Pages 281–286 (Mi mz9880)

The finiteness of the set of branch points of a spherical mapping of a narrowing saddle surface

A. L. Verner

Abstract: We consider an oriented, finitely connected narrowing saddle surface $F\in C^2$ in $R^3$ on which the set of points of zero Gaussian curvature consists only of isolated points. It is proved that a spherical mapping of this surface can only have a finite number of branch points and the structure of the boundary of its spherical image is studied.

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English version:
Mathematical Notes, 1972, 12:3, 603–605

Bibliographic databases:

UDC: 513

Citation: A. L. Verner, “The finiteness of the set of branch points of a spherical mapping of a narrowing saddle surface”, Mat. Zametki, 12:3 (1972), 281–286; Math. Notes, 12:3 (1972), 603–605

Citation in format AMSBIB
\Bibitem{Ver72} \by A.~L.~Verner \paper The finiteness of the set of branch points of a spherical mapping of a narrowing saddle surface \jour Mat. Zametki \yr 1972 \vol 12 \issue 3 \pages 281--286 \mathnet{http://mi.mathnet.ru/mz9880} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=322759} \zmath{https://zbmath.org/?q=an:0258.53008} \transl \jour Math. Notes \yr 1972 \vol 12 \issue 3 \pages 603--605 \crossref{https://doi.org/10.1007/BF01093994}