Documents  Ohnita, Yoshihiro | enregistrements trouvés : 4

- 329 p.
ISBN 978-0-8218-2939-4

Contemporary mathematics , 0309

Localisation : Collection 1er étage

géométrie algébrique # système dynamique # système intagrable # topologie # géométrie différentielle

14-06 ; 37-06 ; 37K10 ; 53-06 ; 57-06

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Geometry

An $R$-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each $R$-space has the canonical embedding into a Kähler $C$-space as a real form which is a compact embedded totally geodesic Lagrangian submanifold. The minimal Maslov number of Lagrangian submanifolds in symplectic manifolds is an invariant under Hamiltonian isotopies and very fundamental to the study of the Floer homology for intersections of Lagrangian submanifolds. In this talk we provide a Lie theoretic formula for the minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces and discuss several examples of the calculation by the formula. An $R$-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each $R$-space has the canonical embedding into a Kähler $C$-space as a real form which is a compact embedded totally geodesic Lagrangian submanifold. The minimal Maslov number of Lagrangian submanifolds in symplectic manifolds is an invariant under Hamiltonian isotopies and very fundamental to the ...

53C55 ; 53C25

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- 510 p.
ISBN 978-4-931469-46-4

Advanced studies in pure mathematics , 0051

Localisation : Collection 1er étage

géométrie différentielle # système dynamique # mécanique des particules # système intégrable

70H06 ; 35Q53 ; 37K05 ; 37K10 ; 53A05 ; 53A07 ; 53A10 ; 58D25 ; 58D27 ; 58E20

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