Complex Riemannian foliations of open Kähler manifolds
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- by Thomas Murphy and Paul-Andi Nagy PDF
- Trans. Amer. Math. Soc. 371 (2019), 4895-4910 Request permission
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.References
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Additional Information
- Thomas Murphy
- Affiliation: Department of Mathematics, California State University Fullerton, 800 North State College Boulevard, Fullerton, California 92831
- MR Author ID: 942237
- Email: tmurphy@fullerton.edu
- Paul-Andi Nagy
- Affiliation: Department of Mathematics, The University of Murcia, Campus de Espinardo, E-30100 Espinardo, Murcia, Spain
- MR Author ID: 662210
- Email: paulandi.nagy@um.es
- Received by editor(s): December 13, 2015
- Received by editor(s) in revised form: December 21, 2017
- Published electronically: August 23, 2018
- Additional Notes: The first author was supported by an A.R.C. grant while at the Université Libre de Bruxelles, a Britton Fellowship while at McMaster University, and a startup research grant from California State University Fullerton. The research of the second author has been partially supported by the grant MTM2012-34037(MICINN)
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 371 (2019), 4895-4910
- MSC (2010): Primary 53C12, 53C55, 37F75
- DOI: https://doi.org/10.1090/tran/7492
- MathSciNet review: 3934471