Abstract
We study the geometric behavior of the normal bundle T⊥M of a submanifold M of a Riemannian manifold M̃. We compute explicitely the second fundamental form of T⊥M and look at the relation between the minimality of T⊥M and M. Finally we show that the Maslov forms with respect to a suitable connection of the pair (T⊥M, V(M̃)) are null.
Original language | English (US) |
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Pages (from-to) | 5-20 |
Number of pages | 16 |
Journal | Monatshefte fur Mathematik |
Volume | 137 |
Issue number | 1 |
DOIs | |
State | Published - Sep 2002 |
Externally published | Yes |
Keywords
- 2 fundamental form
- Austerity
- Immersion
- Lagrangian
- Maslov classes
- Normal bundle
- Submanifold
ASJC Scopus subject areas
- General Mathematics