Degenerate riemannian structures on certain G-structures

Clicks: 26
ID: 117603
1970
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Abstract
We consider a Gr-structure defined by a linear operator J and a riemannian metric G. We introduce the compatibility condition JG=0 and obtain a degenerate riemannian structure. We define special bases and linear connections on the structure and obtain a characterization of these connections in terms of J and G. Finally we obtain a characterization of these structures in terms of the holonomy groups of the linear connections.
Reference Key
closs1970annalidegenerate Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Mike P. Closs;Mike P. Closs;
Journal annali di matematica pura ed applicata
Year 1970
DOI
doi:10.1007/BF02415115
URL
https://link.springer.com/article/10.1007/BF02415115
Keywords
mathematics general

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