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Normalizing connections and the energy-momentum method

Lewis, D. and Marsden, J. E. and Ratiu, T. S. and Simo, J. C. (1990) Normalizing connections and the energy-momentum method. PAM-496. University of California, Berkeley , Berkeley, CA. (Unpublished)

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The block diagonalization method for determining the stability of relative equilibria is discussed from the point of view of connections. We construct connections whose horizontal and vertical decompositions simultaneosly put the second variation of the augmented Hamiltonian and the symplectic structure into normal form. The cotangent bundle reduction theorem provides the setting in which the results are obtained.

Item Type:Report or Paper (Technical Report)
Ratiu, T. S.0000-0003-1972-5768
Additional Information:Partially supported by NSF grant DMS 87-02502. Partially supported by NSF grant DMS 87-01318-01. D Partially supported by AFOSR contracts 2D1A-544 and 2DJA-803. We thank A. Bloch, P. S. Krishnaprasad, R. Montgomery, and A. Weintein for numerous stimulating conversations.
Funding AgencyGrant Number
NSFDMS 8702502
NSFDMS 8701318-01
Air Force Office of Scientific Research (AFOSR)2-DJA-544
Air Force Office of Scientific Research (AFOSR)2-DJA-803
Issue or Number:PAM-496
Record Number:CaltechAUTHORS:20100923-145142151
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20109
Deposited By: Ruth Sustaita
Deposited On:24 Sep 2010 20:18
Last Modified:09 Mar 2020 13:19

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