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Sobolev Inequalities on Kähler manifolds

Sayantan Chakraborty

Abstract

We prove new Sobolev type inequalities on compact Kähler manifolds with positive Ricci curvature. A proof of an already existing Sobolev inequality in the classical Bidaut-Véron and Véron approach is also discussed.

Sobolev Inequalities on Kähler manifolds

Abstract

We prove new Sobolev type inequalities on compact Kähler manifolds with positive Ricci curvature. A proof of an already existing Sobolev inequality in the classical Bidaut-Véron and Véron approach is also discussed.
Paper Structure (4 sections, 104 equations)

This paper contains 4 sections, 104 equations.

Table of Contents

  1. Introduction
  2. Proof of theorem A
  3. Proof of theorem B
  4. References

Theorems & Definitions (7)

  • proof
  • proof
  • proof
  • proof
  • proof
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  • proof