Pseudo-Kähler Geometry of Properly Convex Projective Structures on the torus

In this paper we prove the existence of a pseudo-Kähler structure on the deformation space B 0 ( T 2 ) of properly convex R P 2 -structures over the torus. In particular, the pseudo-Riemannian metric and the symplectic form are compatible with the complex structure inherited from the identification...

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Veröffentlicht in:	The Journal of geometric analysis 2024-04, Vol.34 (4), Article 116
Hauptverfasser:	Rungi, Nicholas, Tamburelli, Andrea
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Toruses
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