Results 41 to 50 of about 435 (185)

Compactifications of strata of differentials

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley   +1 more source

A generalization of Cayley submanifolds

open access: yes, 2000
Given a Kaehler manifold of complex dimension 4, we consider submanifolds of (real) dimension 4, whose Kaehler angles coincide. We call these submanifolds Cayley. We investigate some of their basic properties, and prove that (a) if the ambient manifold is a Calabi-Yau, the minimal Cayley submanifolds are just the Cayley submanifolds as defined by ...
openaire   +4 more sources

Poisson structures and generalized Kähler submanifolds

open access: yesJournal of the Mathematical Society of Japan, 2009
A generalized Kähler structure is an extension of the notion of ordinary Kähler structure from the viewpoint of generalized complex structures, an interpolation between symplectic and complex structures. A Poisson structure on a complex manifold is a holomorphic 2-vector with vanishing Schouten bracket.
openaire   +3 more sources

Lagrangian submanifolds generated by the Maximum Entropy principle [PDF]

open access: yesEntropy, 2005
We show that the Maximum Entropy principle (E.T. Jaynes, [8]) has a natural description in terms of Morse Families of a Lagrangian submanifold. This geometric approach becomes useful when dealing with the M.E.P. with nonlinear constraints. Examples are presented using the Ising and Potts models of a ferromagnetic material.
openaire   +2 more sources

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