The maximum principle for manifolds over a local algebra

Details The maximum principle for manifolds over a local algebra The maximum principle for manifolds over a local algebra

2004-02-14

arxiv.org/abs/math/0402237v2

Mathematics

Differential Geometry

Scientific paper

Let $A$ be a finite-dimensional 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 1-form.

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