Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Author:
Paschalis Miltiadis
Supervisors info:
Γεράσιμος Μπαρμπάτης, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
Hardy and Rellich Inequalities on Riemannian Manifolds
Translated title:
Hardy and Rellich Inequalities on Riemannian Manifolds
Summary:
The main subject of this graduate thesis is a study of Hardy and Rellich-type inequalities on Riemannian manifolds. The first section serves as a brief introduction to the theory of Riemannian manifolds. The second section offers some background material on Hardy and Rellich inequalities in the much-studied context of Euclidean spaces, aiming to prepare the reader for the third section, which deals with such inequalities in the context of Riemannian manifolds. Finally, Section 4 presents some semi-original results concerning vector fields.
Main subject category:
Science
Keywords:
Hardy inequalities, Rellich inequalities, manifolds, analysis, differential geometry
