MEASURE OF LINEAR SPACES AND TOTAL CURVATURES OF COMPACT
ANTI-INVARIANT SUBMANIFOLDS IN $\ce^n$.
Ximo Gual Arnau
Abstract. Let $M$ be a totally real compact manifold,
immersed in the Kaehler manifold $\re^{2n}$. We define the total curvatures
of $M$ and we get a local interpretation of them. Previously, we obtain an
invariant measure for the different linear spaces in $\ce^n$.
Keywords. Total curvatures, densities, subspaces in $\ce^n$, moving frames.
MS Classification. 53C64.