Notation and Symbols
How many times must I explain myself before I can talk to the boss?
- From "Forever Man" by Eric Clapton
The following is a list of some of the notation and symbols which we use
in this book.
vv/
#
Area
ASCR
AVR
B(p,r)
b
Babcd
bounded curvature
CVJ
const
d±_ dr_ d^ d-^
df df df dt
d
dfi
da
A, A
L
, Ad
covariant derivative
defined to be equal to
dot product or multiplication
Hessian of /
sharp operator
symmetric tensor product
dual vector field to the 1-form a
area of a surface or volume of a hypersurface
asymptotic scalar curvature ratio
asymptotic volume ratio
ball of radius r centered at p
Bianchi map
the quadratic -RapbqRcpdq
bounded sectional curvature
tangent cone at V of a convex set J C
M.k
constant
a Dini time-derivative
distance
volume form
volume form on boundary or hypersurface
Laplacian, Lichnerowicz Laplacian,
Hodge Laplacian
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