The optimal isoperimetric inequality for torus bundles over the circle

1996 ◽  
Vol 47 (185) ◽  
pp. 1-23 ◽  
Author(s):  
M. Bridson
Keyword(s):  
Isoperimetric Inequality ◽  
Torus Bundles

Examples for obstructions to action-angle coordinates

1988 ◽  
Vol 110 (1-2) ◽  
pp. 27-30 ◽  
Author(s):  
Larry M. Bates
Keyword(s):  
Global Existence ◽  
Symplectic Manifolds ◽  
Torus Bundles

SynopsisWe give examples of symplectic manifolds which are also non-trivial principal torus-bundles with Lagrangian fibres. These bundles are examples of spaces with an obstruction to the global existence of action-angle variables.

An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift

2005 ◽  
Vol 340 (5) ◽  
pp. 347-352 ◽  
Author(s):  
François Hamel ◽  
Nikolai Nadirashvili ◽  
Emmanuel Russ
Keyword(s):  
Isoperimetric Inequality ◽  
Principal Eigenvalue
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