Flat surfaces in the Euclidean space with pointwise 1-type Gauss map.
Dursun, Uǧur (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Dursun, Uǧur (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Alois Švec (1988)
Czechoslovak Mathematical Journal
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Petrunin, Anton (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Georgi Ganchev, Velichka Milousheva (2010)
Open Mathematics
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In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map ofWeingarten-type and find a geometrically determined moving frame field. Writing derivative formulas of Frenet-type for this frame field, we obtain eight invariant functions. We prove a fundamental theorem of Bonnet-type, stating that these eight invariants under some natural conditions determine the surface up to a motion. We show that the basic geometric classes...
Anzellotti, G.
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Claudi Alsina (1986)
Archivum Mathematicum
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