EXTRINSIC EIGENVALUES UPPER BOUNDS FOR SUBMANIFOLDS IN WEIGHTED MANIFOLDS

Fernando Manfio (1) , Julien Roth (2) , Abhitosh Upadhyay (3)

1 Instituto de Ciências Matemáticas e de Computação
2 LAMA - Laboratoire Analyse et de Mathématiques Appliquées
3 IIT GOA - INDIAN INSTITUTE OF TECHNOLOGY GOA

We prove Reilly-type upper bounds for divergence-type operators of the second order as well as for Steklov problems on submanifolds of Riemannian manifolds of bounded sectional curvature endowed with a weighted measure.

Mots clés: MSC 2010: 53C24; 53C42; 58J50 Submanifolds; Reilly-type upper bounds; eigenvalues estimates; divergencetype operators; Steklov problems

Domaines: Géométrie différentielle [math.DG]

Fernando Manfio, Julien Roth, Abhitosh Upadhyay. EXTRINSIC EIGENVALUES UPPER BOUNDS FOR SUBMANIFOLDS IN WEIGHTED MANIFOLDS. Annals of Global Analysis and Geometry, 2022, 62 (3), pp.489-505. ⟨hal-03334228⟩