The maximum principle for manifolds over a local algebra
Abstract
Let $A$ be a finitedimensional local commutative algebra over $R$, $\dim_RA=n$. In this work we consider compact manifolds over $A$, and prove that the real part of an $A$differentiable function is constant. Also we find estimates for the dimensions of some spaces of 1form.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:math/0402237
 Bibcode:
 2004math......2237G
 Keywords:

 Differential Geometry;
 Complex Variables;
 53C10;
 53C12;
 53C15