The maximum principle for manifolds over a local algebra
Differential Geometry
2007-05-23 v2 Complex Variables
Abstract
Let be a finite-dimensional local commutative algebra over , . In this work we consider compact manifolds over , and prove that the real part of an -differentiable function is constant. Also we find estimates for the dimensions of some spaces of 1-form.
Cite
@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}
}