Reduction of \(\boldsymbol{\beta}\)-integrable \(2\)-Segre structures

Thomas Mettler

Forschungsinstitut für Mathematik, ETH Zürich, Zürich, Switzerland

Date: November 13, 2012

Published Version: Comm. Anal. Geom. 21 (2013), 331—353

1 Introduction
2 2-Segre structures
2.1 Definitions and examples
2.2 The structure equations of a 2-Segre structure
2.3 A quasiholomorphic fibre bundle
3 Reductions of \(\boldsymbol{\beta}\)-integrable 2-Segre structures
4 The flat case
4.1 The Grassmannian of oriented 2-planes
4.2 Smooth quadrics without real points
Appendix A
A.1 The structure group
A.2 Segre and almost Grassmann structures
References