Results 41 to 50 of about 435 (185)
Compactifications of strata of differentials
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
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 ...
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Genericity of singularities in spacetimes with weakly trapped submanifolds [PDF]
Ivan Pontual Costa e Silva +1 more
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Poisson structures and generalized Kähler submanifolds
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.
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Extension of CR mappings between generic algebraic submanifolds [PDF]
Slobodan Kojcinovic
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Lagrangian submanifolds generated by the Maximum Entropy principle [PDF]
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.
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On the holomorphic extension of CR functions from non-generic CR submanifolds of ℂn [PDF]
Nicolas Eisen
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On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures [PDF]
M. Hasan Shahid, A. Sharfuddin
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Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields [PDF]
Vandana +3 more
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