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A Frobenius theorem for Cartan geometries, with applications
applications Cartan geometries
2015/10/14
We prove analogues for Cartan geometries of Gromov's major theorems on automorphisms of rigid geometric structures. The starting
point is a Frobenius theorem, which says that in nitesimal automorphis...
Frobenius 3-folds via singular flat 3-webs
Frobenius 3-folds singular flat 3-webs Differential Geometry
2012/6/15
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ sa...
Ulam method and fractal Weyl law for Perron--Frobenius operators
Ulam method fractal Weyl law Perron--Frobenius operators
2010/4/7
We use the Ulam method to study spectral properties of the Perron-Frobenius operators of dynamical maps in a chaotic regime. For maps with absorption we show that the spectrum is characterized by the ...
Realization of Frobenius manifolds as submanifolds in pseudo-Euclidean spaces
k-potential submanifolds partial differential equations pseudo-Euclidean spaces
2010/4/8
We introduce a class of k-potential submanifolds in pseudo-Euclidean spaces and prove that for an arbitrary positive integer k and an arbitrary nonnegative integer p, each N-dimensional Frobenius mani...