Open Access
June 2004 Poincaré formulas of complex submanifolds
Hong Jae Kang, Takashi Sakai, Masaro Takahashi, Hiroyuki Tasaki
Proc. Japan Acad. Ser. A Math. Sci. 80(6): 110-112 (June 2004). DOI: 10.3792/pjaa.80.110

Abstract

We formulate Poincaré formulas of complex submanifolds in almost Hermitian homogeneous spaces, using Howard's formulation of Poincaré formulas in Riemannian homogeneous spaces. This formula is an extension of Santaló's one in complex space forms.

Citation

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Hong Jae Kang. Takashi Sakai. Masaro Takahashi. Hiroyuki Tasaki. "Poincaré formulas of complex submanifolds." Proc. Japan Acad. Ser. A Math. Sci. 80 (6) 110 - 112, June 2004. https://doi.org/10.3792/pjaa.80.110

Information

Published: June 2004
First available in Project Euclid: 13 May 2005

zbMATH: 1073.53100
MathSciNet: MR2075452
Digital Object Identifier: 10.3792/pjaa.80.110

Subjects:
Primary: 53C65

Keywords: almost Hermitian homogeneous spaces , complex submanifolds , Poincaré formula

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 6 • June 2004
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