Dirichlet principal eigenvalue comparison theorems in geometry with torsion

作者：Ferreira Ana Cristina; Salavessa Isabel^*

来源：Journal of Mathematical Analysis and Applications, 2017, 453(2): 700-723.

DOI：10.1016/j.jmaa.2017.04.030

• Drift-Laplacian
• Principal eigenvalue
• Comparison
• Torsion

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.

• 出版日期2017-9-15