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arXiv · 1509.01967

Dirichlet principal eigenvalue comparison theorems in geometry with torsion

Ana Cristina Ferreira·Isabel Salavessa
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Abstract

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 $N$. Then we derive comparison results for the principal eigenvalue with the one of a spherically symmetric model space endowed with a radial vector field, under pointwise comparison of the corresponding radial sectional and Ricci curvatures, and of the radial component of the vector fields. These results generalize the known case $V=0$.

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BibTeXRIS

Ana Cristina Ferreira, Isabel Salavessa. 2015-09-07. Dirichlet principal eigenvalue comparison theorems in geometry with torsion. https://doi.org/10.1016/j.jmaa.2017.04.030

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