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The normal image of a complete relatively minimal surface
V. N. Kokarev
Abstract:
For surfaces that are relatively minimal in the sense of relative differential geometry, a representation is found that generalizes the representation of Weierstrass for minimal surfaces. It is proved that the normal image of a complete regular relatively minimal surface other than a plane is an everywhere dense subset of a relative sphere. This assertion is a natural generalization of Osserman's theorem.
Received: 05.06.1990
Citation:
V. N. Kokarev, “The normal image of a complete relatively minimal surface”, Mat. Sb., 183:2 (1992), 112–120; Russian Acad. Sci. Sb. Math., 75:1 (1993), 257–264
Linking options:
https://www.mathnet.ru/eng/sm1469https://doi.org/10.1070/SM1993v075n01ABEH003383 https://www.mathnet.ru/eng/sm/v183/i2/p112
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Abstract page: | 326 | Russian version PDF: | 89 | English version PDF: | 1 | References: | 29 | First page: | 1 |
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