Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces

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, and thus a compact embedded totally geodesic Lagrangian submanifold. The mini...

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Autor principal:	Ohnita Yoshihiro
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	r-spaces einstein-kähler c-spaces monotone lagrangian submanifolds minimal maslov number primary: 53c40 secondary: 53c42, 53d12 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e12e4dcda7ed4b12b6bc07f3fad4215f
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id	oai:doaj.org-article:e12e4dcda7ed4b12b6bc07f3fad4215f
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spelling	oai:doaj.org-article:e12e4dcda7ed4b12b6bc07f3fad4215f2021-12-02T17:14:47ZMinimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces2300-744310.1515/coma-2019-0016https://doaj.org/article/e12e4dcda7ed4b12b6bc07f3fad4215f2019-01-01T00:00:00Zhttps://doi.org/10.1515/coma-2019-0016https://doaj.org/toc/2300-7443An 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, and thus a compact embedded totally geodesic Lagrangian submanifold. The minimal Maslov number of Lagrangian submanifolds in symplectic manifolds is one of invariants under Hamiltonian isotopies and very fundamental to study the Floer homology for intersections of Lagrangian submanifolds. In this paper we show a Lie theoretic formula for the minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces, and provide some examples of the calculation by the formula.Ohnita YoshihiroDe Gruyterarticler-spaceseinstein-kähler c-spacesmonotone lagrangian submanifoldsminimal maslov numberprimary: 53c40secondary: 53c42, 53d12MathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 303-319 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	r-spaces einstein-kähler c-spaces monotone lagrangian submanifolds minimal maslov number primary: 53c40 secondary: 53c42, 53d12 Mathematics QA1-939
spellingShingle	r-spaces einstein-kähler c-spaces monotone lagrangian submanifolds minimal maslov number primary: 53c40 secondary: 53c42, 53d12 Mathematics QA1-939 Ohnita Yoshihiro Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
description	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, and thus a compact embedded totally geodesic Lagrangian submanifold. The minimal Maslov number of Lagrangian submanifolds in symplectic manifolds is one of invariants under Hamiltonian isotopies and very fundamental to study the Floer homology for intersections of Lagrangian submanifolds. In this paper we show a Lie theoretic formula for the minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces, and provide some examples of the calculation by the formula.
format	article
author	Ohnita Yoshihiro
author_facet	Ohnita Yoshihiro
author_sort	Ohnita Yoshihiro
title	Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
title_short	Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
title_full	Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
title_fullStr	Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
title_full_unstemmed	Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
title_sort	minimal maslov number of r-spaces canonically embedded in einstein-kähler c-spaces
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/e12e4dcda7ed4b12b6bc07f3fad4215f
work_keys_str_mv	AT ohnitayoshihiro minimalmaslovnumberofrspacescanonicallyembeddedineinsteinkahlercspaces
_version_	1718381292700041216

Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces

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