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Journal Articles Electronic Research Announcements in Mathematical Sciences Year : 2014

Canonical Cartan connections on maximally minimal generic submanifolds M^5 in C^4

Abstract

On a real analytic 5-dimensional CR-generic submanifold M^5 in C^4 of codimension 3 hence of CR dimension 1, which enjoys the generically satisfied nondegeneracy condition 5 = rank T^1,0 M + T^0,1M + [T^1,0M, T^0,1M] + [T^1,0M, [T^1,0M, T^0,1M]] + [T^1,0M, [T^1,0M, [T^1,0M, T^0,1M]]], a canonical Cartan connection is constructed after reduction to a certain partially explicit {e}-structure of the concerned local biholomorphic equivalence problem.
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Dates and versions

hal-03286253 , version 1 (17-07-2021)

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Joël Merker, Samuel Pocchiola, Masoud Sabzevari. Canonical Cartan connections on maximally minimal generic submanifolds M^5 in C^4. Electronic Research Announcements in Mathematical Sciences, 2014, 21, pp.153 - 166. ⟨10.3934/era.2014.21.153⟩. ⟨hal-03286253⟩
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