Totally Real Mappings and Independent Mappings
by Howard Jacobowitz   Peter Landweber  

Vol. 8 No. 2 (2013) P.219~P.230

ABSTRACT

The optimal dimensions $N$ are determined so that each smooth manifold of dimension $n$ admits a totally real immersion or an independent map to $\mathbf{C}^N$. Detailed results comparing these two optimal dimensions, as well as some related results, are presented for four-manifolds.

KEYWORDS
totally real immersions, independent complex-valued functions, Pontryagin classes

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 32V40, 57R42

MILESTONES

Received: 2012-12-03
Revised : 2013-01-08
Accepted: 2013-01-09

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