RIGIDITY OF INVARIANT COMPLEX STRUCTURES

Authors
MIATELLO ID
Citation
Id. Miatello, RIGIDITY OF INVARIANT COMPLEX STRUCTURES, Transactions of the American Mathematical Society, 338(1), 1993, pp. 159-172
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
338
Issue
1
Year of publication
1993
Pages
159 - 172
Database
ISI
SICI code
0002-9947(1993)338:1<159:ROICS>2.0.ZU;2-U
Abstract
A Kahler solvmanifold is a connected Kahler manifold (M, j, [ , ]) adm itting a transitive solvable group of automorphisms. In this paper we study the isomorphism classes of Kahler structures (j, [ , ]) turning M into a Kahler solvmanifold. In the rase when (M, j, [ , ]) is irredu cible and simply connected we show that any Kahler structure on M, hav ing the same group of automorphisms, is isomorphic to (j, [ , ]) .