Pullback transformations in gyrokinetic theory

Physics of Plasmas

Volumn 11, Issue 3, 2004, Pages 1052-1063

  Qin, H ^a   Tang, W M ^a  

^a PRINCETON PLASMA PHYSICS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY MODES; GYROKINETIC THEORY; PHASE SPACE COORDINATES; PULLBACK TRANSFORMATIONS;

INTEGRATION; MAGNETIC FIELDS; MAGNETIZATION; MATHEMATICAL TRANSFORMATIONS; MAXWELL EQUATIONS; PERTURBATION TECHNIQUES; POISSON EQUATION; TOKAMAK DEVICES; VELOCITY MEASUREMENT;

PLASMA THEORY;

EID: 2042470133     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1640626     Document Type: Article

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31. 0(N), we have F*g = g°F (see p. 112, R. Abraham and J. E. Marsden, Foundation of Mechanics, 2nd ed., Second printing with revisions, 1980). Also, if F is not diffeomorphism (assuming C∞ and onto), the push-forward of F is not defined. To define push-forward, it is necessary that F is diffeomorphism (assuming C∞ and onto).