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COMPLEX RIEMANNIAN FOLIATIONS OF OPEN KÄHLER MANIFOLDS.

Authors :
MURPHY, THOMAS
NAGY, PAUL-ANDI
Source :
Transactions of the American Mathematical Society. 2019, Vol. 371 Issue 7, p4895-4910. 16p.
Publication Year :
2019

Abstract

Classification results for complex Riemannian foliations are obtained. For open subsets of irreducible Hermitian symmetric spaces of compact type, where one has explicit control over the curvature tensor, we completely classify such foliations by studying the infinitesimal model associated with the canonical connection. We also establish results for symmetric spaces of noncompact type and a general rigidity result for any irreducible Kähler manifold. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029947
Volume :
371
Issue :
7
Database :
Academic Search Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
135733383
Full Text :
https://doi.org/10.1090/tran/7492