On rigidity of Grauert tubes over homogeneous Riemannian manifolds
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 378892398 | ||
| 003 | CHVBK | ||
| 005 | 20180305123458.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 161128e20041130xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1515/crll.2004.2004.577.213 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/crll.2004.2004.577.213 | ||
| 100 | 1 | |a Kan |D Su-Jen |u 1. Taipei. | |
| 245 | 1 | 0 | |a On rigidity of Grauert tubes over homogeneous Riemannian manifolds |h [Elektronische Daten] |c [Su-Jen Kan] |
| 520 | 3 | |a Given a real-analytic Riemannian manifold X there is a canonical complex structure, which is compatible with the canonical complex structure on T*X and makes the leaves of the Riemannian foliation on TX into holomorphic curves, on its tangent bundle. A Grauert tube over X of radius r, denoted as TrX, is the collection of tangent vectors of X of length less than r equipped with this canonical complex structure. In this article, we prove the following two rigidity properties of Grauert tubes. First, for any real-analytic Riemannian manifold such that r max > 0, we show that the identity component of the automorphism group of TrX is isomorphic to the identity component of the isometry group of X provided that r < r max. Secondly, let X be a homogeneous Riemannian manifold and let the radius r < r max, then the automorphism group of TrX is isomorphic to the isometry group of X and there is a unique Grauert tube representation for such a complex manifold TrX. | |
| 540 | |a © Walter de Gruyter | ||
| 690 | 7 | |a Grammar, syntax, linguistic structure |2 nationallicence | |
| 690 | 7 | |a Phonetics, phonology, prosody |2 nationallicence | |
| 690 | 7 | |a Historical & comparative linguistics |2 nationallicence | |
| 773 | 0 | |t Journal für die reine und angewandte Mathematik (Crelles Journal) |d Walter de Gruyter |g 2004/577(2004-11-30), 213-233 |x 0075-4102 |q 2004:577<213 |1 2004 |2 2004 |o crll | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/crll.2004.2004.577.213 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/crll.2004.2004.577.213 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Kan |D Su-Jen |u 1. Taipei | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal für die reine und angewandte Mathematik (Crelles Journal) |d Walter de Gruyter |g 2004/577(2004-11-30), 213-233 |x 0075-4102 |q 2004:577<213 |1 2004 |2 2004 |o crll | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 986 | |a SWISSBIB |b 378892398 | ||
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||