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On the self-shrinking systems in arbitrary codimension spaces
self-shrinking systems arbitrary codimension spaces
2011/1/17
In this paper, we discuss the self-shrinking systems in higher codimensional spaces. We mainly obtain several Bernstein type results and a sharp growth estimate.MSC 2010: Primary 53C44.
We prove Ma˜n´e’s conjectures ([Mn96]) in the context of codimension one Aubry-Mather theory
This work is part of the Graded Ring Database project [GRDB],and is a sequel to [A0], [A] and [ABR]. We introduce a strategy based on Kustin–Miller unprojection [KM].
Codimension one symplectic foliations and regular Poisson structures
Codimension one symplectic foliations regular Poisson structures
2010/11/30
In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds,those equipped with a closed one-form defining the symplectic foliation
and a closed ...
The Gauss image of entire graphs of higher codimension and Bernstein type theorems
Gauss image entire graphs of higher codimension Bernstein type theorems
2010/12/9
Under suitable conditions on the range of the Gauss map of a complete submanifold of Euclidean space with parallel mean curvature, we construct a strongly subharmonic function and derive a-priori esti...