On a function of reducibility of a class of four-dimensional semiparallel submanifolds (Q2718810)
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scientific article; zbMATH DE number 1597238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a function of reducibility of a class of four-dimensional semiparallel submanifolds |
scientific article; zbMATH DE number 1597238 |
Statements
9 May 2001
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semiparallel submanifolds
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Veronese surface
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On a function of reducibility of a class of four-dimensional semiparallel submanifolds (English)
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A semiparallel submanifold \(M^4\) of a Euclidean space \(E^n\), \(n>9\), (i.e. \(R\circ h=0\) where \(h\) is the second fundamental form and \(R\) is the curvature of the van der Waerden-Bertoletti connection) is proved to be a second order envelope of \(V^2(r_1) \times S^1(r_2)\times S^1(r_3)\) (where \(V^2 (r_1)\) is a Veronese surface in \(E^5)\). Some geometrical properties of Veronese and Clifford leaves are described in terms of a certain function.
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0.8654934167861938
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