A global slice theorem for proper Hamiltonian actions

1999 ◽  
Vol 98 (3) ◽  
pp. 295-305
Author(s):  
Peter Heinzner ◽  
Frank Loose
Keyword(s):  
Slice Theorem ◽  
Hamiltonian Actions

Projection-slice theorem: a compact notation

2011 ◽  
Vol 28 (5) ◽  
pp. 766 ◽  
Author(s):  
Daissy H. Garces ◽  
William T. Rhodes ◽  
Nestor M. Peña
Keyword(s):  
Slice Theorem

scholarly journals Weakly Hamiltonian actions

2017 ◽  
Vol 115 ◽  
pp. 131-138
Author(s):  
David Martínez Torres ◽  
Eva Miranda
Keyword(s):  
Hamiltonian Actions

Projection-slice theorem based 2D-3D registration

2007 ◽  
Author(s):  
M. J. van der Bom ◽  
J. P. W. Pluim ◽  
R. Homan ◽  
J. Timmer ◽  
L. W. Bartels
Keyword(s):  
3D Registration ◽  
Slice Theorem

Rigidity of Hamiltonian Actions

2003 ◽  
Vol 46 (2) ◽  
pp. 277-290 ◽  
Author(s):  
Frédéric Rochon
Keyword(s):  
General Theory ◽  
Lie Group ◽  
Geometric Analysis ◽  
Smooth Action ◽  
Symplectic Action ◽  
Hamiltonian Actions

AbstractThis paper studies the following question: Given an ω′-symplectic action of a Lie group on a manifoldMwhich coincides, as a smooth action, with a Hamiltonian ω-action, when is this action a Hamiltonian ω′-action? Using a result of Morse-Bott theory presented in Section 2, we show in Section 3 of this paper that such an action is in fact a Hamiltonian ω′-action, provided thatM is compact and that the Lie group is compact and connected. This result was first proved by Lalonde-McDuff-Polterovich in 1999 as a consequence of a more general theory that made use of hard geometric analysis. In this paper, we prove it using classical methods only.

scholarly journals Robust Digital Image Reconstruction via the Discrete Fourier Slice Theorem

2014 ◽  
Vol 21 (6) ◽  
pp. 682-686 ◽  
Author(s):  
Shekhar S. Chandra ◽  
Nicolas Normand ◽  
Andrew Kingston ◽  
Jeanpierre Guedon ◽  
Imants Svalbe
Keyword(s):  
Image Reconstruction ◽  
Digital Image ◽  
Slice Theorem ◽  
Fourier Slice Theorem
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