Spherical submanifolds with special quadric representations

Autor:	Jitan Lu
Rok vydání:	1998
Předmět:	Pure mathematics Quadric General Mathematics Mathematical analysis Totally geodesic Hypersphere Representation (mathematics) Submanifold Constant (mathematics) Unit (ring theory) Mathematics
Zdroj:	Bulletin of the Australian Mathematical Society. 57:295-303
ISSN:	1755-1633 0004-9727
DOI:	10.1017/s0004972700031671
Popis:	In this paper, we study submanifolds in the unit hypersphere satisfying where is the quadric representation of the submanifold, and B and C are two constant matrices. We prove that the totally geodesic submanifolds are the only submanifolds in the unit hypersphere whose quadric representations satisfy
Databáze:	OpenAIRE
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