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Groups of formal diffeomorphisms in several complex variables and closed one-forms
Groups of formal diffeomorphisms several complex variables closed one-forms
2011/1/21
We study groups of formal diffeomorphisms in several complex variables. For abelian,metabelian or nilpotent groups we investigate the existence of suitable formal vector fields and closed differential...
An example of Melkersson subcategory which is not closed under injective hulls
Melkersson subcategory injective hulls
2010/11/12
The Melkersson subcategory is a special Serre subcategory. It was proved that a Serre subcategory which is closed under injective hulls is a Melkersson subcategory. However, it has been an open quest...
A new look at nonnegativity on closed sets and polynomial optimization
closed sets nonnegative functions nonnegative polynomials semidefinite
2010/11/26
We first show that a continuous function f is nonnegative on a closed set K Rn if and only if (countably many) moment matrices of some signed measure d = fdμ with supp μ = K, are all positive semid...
Every closed Kähler manifold with degree of mobility $\ge 3$ is $(CP(n), g_{Fubini-Study})$
Every closed Kä hler manifold degree
2010/12/14
The degree of mobility of a (pseudo-Riemannian) K¨ahler metric is the dimension of the space of metrics h-projectively equivalent to it. We prove that a metric on a closed connected manifold can not h...
The nodal line of the second eigenfunction of the Robin Laplacian in $\mathbb{R}^2$ can be closed
Laplacian eigenfunction nodal line Robin boundary
2010/12/13
We construct a multiply connected domain in R2 for which the second eigenfunction of the Laplacian with Robin boundary condi-tions has an interior nodal line. In the process, we adapt a bound of Donne...