Lagrangian Klein bottles in R^{2n}

Abstract

It is shown that the n-dimensional Klein bottle admits a Lagrangian embedding into R^{2n} if and only if n is odd.

V.2 - explicit formula for the Luttinger-type surgery; V.3 - section 3 corrected, section 6 expanded; 6 pages

References in corpus (1)

• Homology class of a Lagrangian Klein bottle

Cited by in corpus (4)

• Lagrangian isotopy of tori in $S^2\times S^2$ and $\mathbb{C}{P}^2$
• Geometric structures on moment-angle manifolds
• Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings
• Rationally Convex Domains and Singular Lagrangian Surfaces in ${\mathbb{C}}^2$