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June 2003 On a complex equiaffine immersion of general codimension
Sanae Kurosu
Author Affiliations +
SUT J. Math. 39(2): 183-209 (June 2003). DOI: 10.55937/sut/1078824718

Abstract

We study a complex equiaffine immersion of general codimension by regarding a frame of the complex determinant bundle of a complex vector bundle as a complex volume form. Some results on a complex affine hypersurface with volume form, especially a complex equiaffine hypersurface, are generalized to the case of general codimension. Especially, we obtain the fundamental theorems for a complex equiaffine immersion to a complex affine space of general codimension.

Acknowledgements

The author would like to express her sincere gratitude to Professor Naoto Abe for his valuable advice and encouragement. She also wishes to express her hearty thanks to the referee for his kind suggestions to complete the revised version.

Citation

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Sanae Kurosu. "On a complex equiaffine immersion of general codimension." SUT J. Math. 39 (2) 183 - 209, June 2003. https://doi.org/10.55937/sut/1078824718

Information

Received: 27 October 2003; Revised: 25 November 2003; Published: June 2003
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1078824718

Subjects:
Primary: 53A15 , 57.60

Keywords: complex affine immersion , equiaffine immersion , fundamental theorems

Rights: Copyright © 2003 Tokyo University of Science

Vol.39 • No. 2 • June 2003
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