0000000000798103

AUTHOR

Maxime Lagrange

showing 2 related works from this author

Braiding minimal sets of vector fields

2002

We extend a classical but fundamental theorem of knot and braid theories to describe the geometry of nonsingular minimal sets of 3-dimensional flows.

CombinatoricsPure mathematicsInvertible matrixFundamental theoremlawApplied MathematicsGeneral MathematicsBraidVector fieldMathematics::Geometric TopologyKnot (mathematics)Mathematicslaw.inventionProceedings of the American Mathematical Society
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Topological lower bounds on the distance between area preserving diffeomorphisms

2000

Area preserving diffeomorphisms of the 2-disk which are Identity near the boundary form a group which can be equipped, using theL2-norm on its Lie algebra, with a right invariant metric. In this paper we give a lower bound on the distance between diffeomorphisms which is invariant under area preserving changes of coordinates and which improves the lower bound induced by the Calabi invariant. In the case of renormalizable and infinitely renormalizable maps, our estimate can be improved and computed.

CombinatoricsMathematics::Dynamical SystemsGeneral MathematicsLie algebraInvariant (mathematics)TopologyUpper and lower boundsMathematicsBoletim da Sociedade Brasileira de Matem�tica
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