Singularities of admissible normal functions
β Scribed by Patrick Brosnan; Hao Fang; Zhaohu Nie; Gregory Pearlstein
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 649 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove that a class of invariant functions, admissible with respect to the Fubini-Study metric on the sphere S 2 = P 1 C are bounded from below by a function going to infinity on the intersection of charts. This lower bound is sharp in terms of an HΕrmander type inequality.
## Abstract Beginning in 2006, G. Gentili and D. C. Struppa developed a theory of regular quaternionic functions with properties that recall classical results in complex analysis. For instance, in each Euclidean ball __B__(0, __R__) centered at 0 the set of regular functions coincides with that of