%0 Journal Article
%T Dirichlet principal eigenvalue comparison theorems in geometry with torsion
%A Ana Cristina Ferreira
%A Isabel Salavessa
%J Mathematics
%D 2015
%I arXiv
%X We describe min-max formulas for the principal eigenvalue of a $V$-drift Laplacian defined by a vector field $V$ on a geodesic ball of a Riemannian manifold $N$. Using these formulas, under pointwise upper or lower bounds of the the radial sectional and Ricci curvatures of $N$ and of the radial component of $V$, we derive comparison results for the principal eigenvalue with the one of a spherically symmetric model space endowed with a radial vector field. These results generalize the well known case $V=0$.
%U http://arxiv.org/abs/1509.01967v2