Analysing the Wu metric on a class of eggs in Cⁿ -1

Authors

G. P. Balakumar, Indian Statistical Institute Chennai
Prachi Mahajan, Indian Institute of Technology Bombay

Article Type

Research Article

Publication Title

Proceedings of the Indian Academy of Sciences: Mathematical Sciences

Abstract

We study the Wu metric on convex egg domains of the form where m > 1/2, m ≠ 1. The Wu metric is shown to be real analytic everywhere except on a lower dimensional subvariety where it fails to be C2-smooth. Overall however, the Wu metric is shown to be continuous when m = 1/2 and even c1-smooth for each m > 1/2, and in all cases, a non-Kähler Hermitian metric with its holomorphic curvature strongly negative in the sense of currents. This gives a natural answer to a conjecture of S. Kobayashi and H. Wu for such E2m.

First Page

323

Last Page

335

DOI

10.1007/s12044-017-0336-5

Publication Date

4-1-2017

Recommended Citation

Balakumar, G. P. and Mahajan, Prachi, "Analysing the Wu metric on a class of eggs in Cⁿ -1" (2017). Journal Articles. 2611.
https://digitalcommons.isical.ac.in/journal-articles/2611