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5 - Künneth Structures

Published online by Cambridge University Press:  07 December 2023

M. J. D. Hamilton  and
D. Kotschick
M. J. D. Hamilton
Affiliation:
Universität Stuttgart
D. Kotschick
Affiliation:
Ludwig-Maximilians-Universität München
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Summary

With this chapter we begin the main part of our discussion of Künneth geometry. We first define Künneth and almost Künneth structures. The former are the main structures whose geometry we investigate in this and the coming chapters. In this chapter we give only their most basic properties, and we discuss their automorphism groups. Most of this chapter consists of the discussion of several classes of examples.

Keywords

Künneth structurecomplementary Lagrangian foliationsalmost Künneth structurecomplementary Lagrangian distributionsintegrability of almost Künneth structurepseudo-Riemannian metricautomorphism groupAnosov symplectomorphismmapping torussuspension
Type
Chapter
Information
Künneth Geometry
Symplectic Manifolds and their Lagrangian Foliations
 , pp. 57 - 72
Publisher: Cambridge University Press
Print publication year: 2023

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