New equation on the low dimensional Calabi-Yau metrics

Abstract

In this paper we introduce a new equation on the compact Kahler manifolds. Solution of this equation corresponds to the Calabi-Yau metric. New equation differs from the Monge--Ampere equation considered by Calabi and Yau.

6 pages

References in corpus (3)

• Taming symplectic forms and the Calabi-Yau equation
• Hyperbolic geometry and non-Kahler manifolds with trivial canonical bundle
• On a generalized Calabi-Yau equation

Cited by in corpus (2)

• Symplectic analog of Calabi's conjecture for Calabi--Yau threefolds
• Mirror Kaehler potential on Calabi-Yau threefolds