New York Journal of Mathematics
Volume 18 (2012) 463-477


Pak Tung Ho, Howard Jacobowitz, and Peter Landweber

Optimality for totally real immersions and independent mappings of manifolds into CN

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Published: June 19, 2012
Keywords: totally real immersion, independent functions, Stein manifold
Subject: Primary 32V40; Secondary 32Q28, 57R42

The optimal target dimensions are determined for totally real immersions and for independent mappings into complex affine spaces. Our arguments are similar to those given by Forster, but we use orientable manifolds as far as possible and so are able to obtain improved results for orientable manifolds of even dimension. This leads to new examples showing that the known immersion and submersion dimensions for holomorphic mappings from Stein manifolds to affine spaces are best possible.

Author information

Pak Tung Ho:
Department of Mathematics, Sogang University, Seoul 121-742, Korea

Howard Jacobowitz:
Department of Mathematical Sciences, Rutgers University, Camden, New Jersey, USA

Peter Landweber:
Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA