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Some properties of Holder surfaces in the Heisenberg group
properties of Holder surfaces Heisenberg group Differential Geometry
2012/5/9
It is a folk conjecture that for alpha > 1/2 there is no alpha-Hoelder surface in the subRiemannian Heisenberg group. Namely, it is expected that there is no embedding from an open subset of R^2 into ...
Optimal paths for symmetric actions in the unitary group
geodesic segment Lagrangian optimal path unitarily invariant norm unitary group Grassmann manifold angular metric
2011/9/5
Abstract: Given a positive and unitarily invariant Lagrangian L defined in the algebra of Hermitian matrices, and a fixed interval $[a,b]\subset\mathbb R$, we study the action defined in the Lie group...
THE PROJECTIVITY OF THE FUNDAMENTAL GROUP OF AN AFFINE LINE。
A Class of Monoids Embeddable in a Group
Embedding monoid presentation group presentation geometric braids
2010/3/1
In this paper, we develop a new method to show that a monoid, given by a certain kind of presentation, embeds in a group. A mathematical device called the diamond condition was used in [5] to prove th...