中文

The maximum principle for manifolds over a local algebra

微分几何 2007-05-23 v2 复变函数

摘要

Let AA be a finite-dimensional local commutative algebra over RR, dimRA=n\dim_RA=n. In this work we consider compact manifolds over AA, and prove that the real part of an AA-differentiable function is constant. Also we find estimates for the dimensions of some spaces of 1-form.

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引用

@article{arxiv.math/0402237,
  title  = {The maximum principle for manifolds over a local algebra},
  author = {Tagir I. Gaisin},
  journal= {arXiv preprint arXiv:math/0402237},
  year   = {2007}
}