On Indefinite Special Lagrangian Submanifolds in Indefinite Complex Euclidean Spaces

Abstract

In this paper, we show that the calibrated method can also be used to detect indefinite minimal Lagrangian submanifolds in $C_k^m$. We introduce the notion of indefinite special Lagrangian submanifolds in $C_k^m$ and generalize the well-known work of Harvey-Lawson to the indefinite case.

24 pages

Cited by in corpus (3)

• Minimal Lagrangian surfaces in the tangent bundle of a Riemannian surface
• Lagrangian immersions in the product of Lorentzian two manifold
• Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space