Photo from archive.org
On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li-Schoen proved the uniform Poincaré inequality for any geodesic ball. In this note, we obtain the sharp lower bound of the… Click to show full abstract
On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li-Schoen proved the uniform Poincaré inequality for any geodesic ball. In this note, we obtain the sharp lower bound of the first Dirichlet eigenvalue of such geodesic balls, which implies the sharp Poincaré inequality for geodesic balls. Mathematics Subject Classification: 58J50.
Keywords:
dirichlet eigenvalue;
bound first;
first dirichlet;
lower bound;
geodesic balls;
sharp lower
Journal Title: Mathematische Zeitschrift
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematische Zeitschrift
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!