Article ID Journal Published Year Pages File Type
4606313 Differential Geometry and its Applications 2010 11 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Analysis
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