Balanced metrics on non-Kahler Calabi-Yau threefolds

Abstract

We construct balanced metrics on the family of non-Kähler Calabi-Yau threefolds that are obtained by smoothing after contracting $(-1,-1)$-rational curves on Kähler Calabi-Yau threefold. As an application, we construct balanced metrics on complex manifolds diffeomorphic to connected sum of $k\ge 2$ copies of $S^3\times S^3$.

Title changed, introduction rewritten and details of the proof of Lemma 4.2 added

References in corpus (3)

• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• Local Heterotic Torsional Models
• Conformal Field Theory and the Reid Conjecture

Cited by in corpus (4)

• Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds
• A note on small deformations of balanced manifolds
• Form-Type Calabi-Yau Equations
• On a conjecture of Candelas and de la Ossa