I. I. Bodrenko, “A characteristic feature of the $n$-dimensional sphere in the Euclidean space $E^{n+p}$”, Mat. Sb., 1994, Volume 185, Number 11,Pages 23

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A characteristic feature of the $n$-dimensional sphere in the Euclidean space $E^{n+p}$

I. I. Bodrenko

Volgograd State University

Abstract: Submanifolds with zero geodesic torsion in Euclidean space are studied. Conditions are found under which submanifolds of this class are hyperspheres of certain Euclidean spaces of lower dimension

UDC: 513.736

MSC: 53A05

Received: 10.01.1994