436 Index
of a functional, 260
vector
3-vector, 306
r-vector, 25
cotangent, 8
horizontal, 40
isotropic, 303
light-like, 303
physically equivalent, 20
space-like, 303
time-like, 303
vertical, 36, 60, 255
vector bundle, 15
connection, 40
vector field, 6
r-vector field, 25
admissible, 405
basic, 63
complete, 67
completely continuous, 78
continuous, 6
divergence, 34
essential extension, 272
flow, 7
fundamental, 60
Hamiltonian, 95
integral curve, 6
Itˆo, 140
left-invariant, 12
Lie bracket, 7
parallel, 52
right-invariant, 12
rotation, 32
smooth, 6
special, 92
vector fields
commuting, 34
vector force field, 256
set-valued, 272
vector potential
of a magnetic field, 313
of an electromagnetic field, 313
velocity
4-velocity, 304
of a mechanical system, 257
velocity hodograph, 276
vertical
component, 94
lift, 50
subspace, 36, 50, 60
vector, 36, 60, 255
volume form, 30
weak convergence of measures, 119
weak Riemannian metric, 107
weak solution, 130, 182, 209, 211, 221, 222,
239, 240, 337, 343
weak uniqueness, 131
weakly proper function, 71, 78
weakly relatively compact set of measures,
120
Weitzenb¨ok formulae, 59
white noise, 120
Whitney’s Theorem, 3
Wiener measure, 122
Wiener process, 121, 172
backward, 201
on a manifold, 173
standard, 122
Wong-Zakai Theorem, 134
world line, 303
isotropic, 304
light like, 304
space-like, 304
time-like, 304
zero-section, 17
