Results 51 to 60 of about 215 (152)
Compactifications of strata of differentials
Bulletin 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
, 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
Generic intersections of differentiable submanifolds
, 2014 This paper has been withdrawn by the author because it can be easily obtained from the parametric transversality ...
openaire +2 more sources
Generic submanifolds in almost Hermitian manifolds [PDF]
Annales Polonici Mathematici, 1988 A real submanifold M of an almost complex manifold \((M,J')\) is called a generic submanifold if dim J\({}'T_ xM\cap T_ xM\) is constant on M. In this article, the author proves that a generic submanifold of a complex manifold is a CR-manifold. She studies sufficient conditions for a real submanifold in a Kähler manifold to be generic.
openaire +1 more source
Poisson structures and generalized Kähler submanifolds
Journal 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]
Entropy, 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
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems. [PDF]
Philos Trans A Math Phys Eng Sci, 2022 Cenedese M +4 more
europepmc +1 more source
Geometric Modeling for Control of Thermodynamic Systems. [PDF]
Entropy (Basel), 2023 van der Schaft A.
europepmc +1 more source
Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds. [PDF]
Nat Commun, 2022 Cenedese M +4 more
europepmc +1 more source
An Algorithmic Approach to Emergence. [PDF]
Entropy (Basel), 2022 Bédard CA, Bergeron G.
europepmc +1 more source