Hermitian ranks of compact complex manifolds-Reference-Cited by-同舟云学术

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Hermitian ranks of compact complex manifolds

Published:2018-02-01 Issue:5 Volume:146 Page:2195-2205
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Angella Daniele,Tomassini Adriano

Abstract

We investigate degenerate special-Hermitian metrics on compact complex manifolds; in particular, degenerate Kähler and locally conformally Kähler metrics on special classes of non-Kähler manifolds.

Funder

Ministero dell’Istruzione, dell’Universit� e della Ricerca

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2018-146-05/S0002-9939-2018-13938-6/proc13938_AM.pdf

Reference28 articles.

1. On Bott-Chern cohomology of compact complex surfaces;Angella, Daniele;Ann. Mat. Pura Appl. (4),2016

2. A local index theorem for non-Kähler manifolds;Bismut, Jean-Michel;Math. Ann.,1989

3. On compact Kähler surfaces;Buchdahl, Nicholas;Ann. Inst. Fourier (Grenoble),1999

4. Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics;Ceballos, M.;J. Geom. Anal.,2016

5. The Kähler rank of compact complex manifolds;Chiose, Ionuţ;J. Geom. Anal.,2016

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