Glossary

Symbols

$\alt$,
$A^\perp$,
$\contract$,
$\lhull{A}$,
$\O^p(E)$,
$\O_q(E)$,
$\Prn_F$,
$S_\nu^n$,
x\contract A,
$x^\flat$,
$x^\sharp$,
$\wedge$,

A

adjoint of a linear mapping,
adjugate matrix,
alternating tensor,

B

C

cannonical Euclidean metric,
causal character,
causal vector,
chain rule,
complexification,
conjugation,
conservation of energy-momentum,
contraction,
contravariant tensor,
coordinate field,
covariant derivative,
covariant tensor,

D

determinant,
determinant lemma,
dual basis,

E

energy,
entire function,
Euclidean product,
exponential map,
exponential matrix,
exterior product,

F

freely falling observer,
future pointing vector,

G

Gramian matrix,

H

Hodge $*$-operator,

I

index,
inner product,
instantaneous observer,
integral curve,
integral manifold,
isometric manifolds,
isometry,

J

K

L

light cone,
light-like particle,
light-like vector,
linear isometry,
locally isometric manifolds,
local rest space,
local time axis,
Lorentz product,
Lorentz transformation,

M

material particle,
material particle,
Minkowski force,
Minkowski space,
momentum,
musical isomorphism,

N

non-degenerated subspace,
non-singular bi-linear mapping,
norm,

O

observer,
orientation,
orientation preserving,
orthogonal,
orthogonal projection,
orthonormal basis,

P

partial trace,
$p$-form,
photon,
polarization formula,
$(p,q)$-tensor,
proper time,
Pseudo-Riemannian metric,
pull-back,
pull-back metric,

Q

quadratic form,

R

reflection,
rocket equation,
rotation,
$(r,s)$-trace,

S

scaling function,
self-adjoint,
skew-symmetric,
space-like vector,
spacetime,
speed,
sphere,
stereographic projection,
symmetric bi-linear mapping,

T

tangent map,
tangent vector,
tensor algebra,
tensor product,
time-cone,
time-like vector,
time orientation,
trace,
trajectory,

U

universal property,

V

vector filed,
vector field along a curve,
vector product,
velocity,
volume form,

W

wedge product,
world line,
wrong Cauchy-Schwarz,

X

Y

Z

Last modified: Sat Nov 9 11:19:39 CET 2024