Invariants and submanifolds in almost complex geometry

2007/12/20 by Boris Kruglikov, Kruglikov, Boris
Mathematics · #32Q60 #53A55 #53C15 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:32Q60 #msc:53A55 #msc:53C15

paper · pdf · doi:10.48550/arxiv.0712.3496

arxiv created 2007/12/20 · arxiv updated 2009/12/01

Abstract

In this paper we describe the algebra of differential invariants for GL(n,C)-structures. This leads to classification of almost complex structures of general positions. The invariants are applied to the existence problem of higher-dimensional pseudoholomorphic submanifolds.

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