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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 280, Pages 173–174 (Mi znsl1476)

Absence of three-dimensional totally geodesic submanifolds in the manifold of directions of physical space

D. V. Ivanov

Saint-Petersburg State University

Abstract: It is proved that the manifold of directions of physical space contains no three-dimensional totally geodesic submanifolds.

UDC: 514.76

Received: 29.10.2001


 English version:
Journal of Mathematical Sciences (New York), 2004, 119:2, 221–222

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