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L. Verhóczki
L. Verhóczki
Department of Geometry Technical University H-1521 Budapest Hungary
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In the present paper parallel submanifolds and focal points of a given submanifold with flat normal bundle are discussed provided that the ambient space has constant sectional curvature. We present shape operators of parallel submanifolds with respect to arbitrary normal vectors. Furthermore, we prove that the focal points of a submanifold with flat normal bundle form totally geodesic hypersurfaces in the normal submanifolds.
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| Periodica Mathematica Hungarica | |
|---|---|
| Language | English |
| Size | B5 |
| Year of Foundation |
1971 |
| Volumes per Year |
2 |
| Issues per Year |
4 |
| Founder | Bolyai János Matematikai Társulat - János Bolyai Mathematical Society |
| Founder's Address |
H-1055 Budapest, Hungary Falk Miksa u. 12.I/4. |
| Publisher | Akadémiai Kiadó Springer Nature Switzerland AG |
| Publisher's Address |
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11. |
| Responsible Publisher |
Chief Executive Officer, Akadémiai Kiadó |
| ISSN | 0031-5303 (Print) |
| ISSN | 1588-2829 (Online) |
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