Open Access
April 2001 An obstruction to semistability of manifolds
Toshiki Mabuchi, Yasuhiro Nakagawa
Proc. Japan Acad. Ser. A Math. Sci. 77(4): 47-49 (April 2001). DOI: 10.3792/pjaa.77.47


This is an announcement of our result showing that the Bando-Calabi-Futaki character for an integral Kähler class, if any, of a compact complex manifold is regarded as an obstruction to semistability of the manifold. This develops a pioneering work of Fujiki [3].


Download Citation

Toshiki Mabuchi. Yasuhiro Nakagawa. "An obstruction to semistability of manifolds." Proc. Japan Acad. Ser. A Math. Sci. 77 (4) 47 - 49, April 2001.


Published: April 2001
First available in Project Euclid: 23 May 2006

zbMATH: 1058.53056
MathSciNet: MR1829373
Digital Object Identifier: 10.3792/pjaa.77.47

Primary: 14L30
Secondary: 14L24 , 53C25 , 53C55

Keywords: Chow points , obstruction , semistability , The Bando-Calabi-Futaki character , Tian

Rights: Copyright © 2001 The Japan Academy

Vol.77 • No. 4 • April 2001
Back to Top