Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606313 | Differential Geometry and its Applications | 2010 | 11 Pages |
Abstract
Methods of parabolic geometries have been recently used to construct a class of elliptic complexes on quaternionic manifolds, Salamon's complex being the simplest case. The purpose of this paper is to describe an algorithm to compute their analytical indices in terms of characteristic classes. Using this, we are able to derive some topological obstructions to the existence of quaternionic structures on manifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Oldřich Spáčil,