GENERAL REILLY-TYPE INEQUALITIES FOR SUBMANIFOLDS OF WEIGHTED EUCLIDEAN SPACES

Julien Roth (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove new upper bounds for the first positive eigenvalue of a family of second order operators, including the Bakry-´ Emery Laplacian, for submanifolds of weighted Euclidean spaces.

Domaines: Géométrie différentielle [math.DG]

Julien Roth. GENERAL REILLY-TYPE INEQUALITIES FOR SUBMANIFOLDS OF WEIGHTED EUCLIDEAN SPACES. Colloquium Mathematicum, 2016, 144 (1), pp.127-136. ⟨hal-01140763⟩