The geometry of Grauert tubes and complexification of symmetric spaces
نویسندگان
چکیده
منابع مشابه
The Geometry of Grauert Tubes and Complexification of Symmetric Spaces
We study the canonical complexifications of non-compact Riemannian symmetric spaces by the Grauert tube construction. We determine the maximal such complexification, a domain already constructed by Akhiezer and Gindikin [1], and show that this domain is Stein. We also determine when invariant complexifications, including the maximal one, are Hermitian symmetric. This is expressed simply in term...
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15 صفحه اولOn Rigidity of Grauert Tubes
Given a real-analytic Riemannian manifold M there exists a canonical complex structure on part of its tangent bundle which turns leaves of the Riemannian foliation on TM into holomorphic curves. A Grauert tube over M of radius r, denoted as T rM , is the collection of tangent vectors of M of length less than r equipped with this canonical complex structure. We say the Grauert tube T rM is rigid...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2003
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-03-11833-5