4 papers · 1 filter
Deformations of generalized complex structures on -flat transitive Courant algebroids
Vicente Cortés, Paula Naomi Pilatus
We extend Gualtieri's deformation theorem for generalized complex structures on exact Courant algebroids to the more general class of -flat transitive Courant algebroi…
Deformation theory of complex structures via Hamilton-Nash-Moser theory
Vicente Cortés, Paula Naomi Pilatus
We revisit the classical proof by Kuranishi on the existence of a locally complete family of complex deformations on a compact complex manifold using Hamilton's Nash-Moser implicit…
Born Lie algebras
Alejandro Gil-García, Paula Naomi Pilatus
We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie…
Born geometry via Künneth structures and recursion operators
M. J. D. Hamilton, D. Kotschick, P. N. Pilatus
We propose a simple definition of a Born geometry in the framework of Künneth geometry. While superficially different, this new definition is equivalent to the known definitions in…