1547845447-The_Ricci_Flow_-_Techniques_and_Applications_-_Part_IV__Chow_

Notation and Symbols

Doesn't mean that much to m e

To mean that much to you.

• From "Old Man" by Neil Young

The following is a list of some of the notation and symbols which we use in this
book.

®s

ab

WT

W.L

Area

ASCR

AVR

BP (r)

b

Babcd

bounded curvature

Cv.:J

const

covariant derivative

adjoint heat operator

Lichnerowicz Laplacian heat operator

adjoint Lichnerowicz Lap lacian heat operator

defined to b e equal to

dot product or multiplication

Euclidean comp arison angle

Hessian off

Kulkarni- Nomizu product

sharp operator

symmetric tensor product

dual vector field to the 1-form a

tangential component of the vector W

normal component of the vector W

a rea of a surface or volume of a hyp ersurface

asymptotic scalar curvature ratio

asymptotic volume ratio

ball of radius r centered a t p

Bianchi ma p

the quadratic 4-t ensor -Rapbq Rcpdq

bounded sectional curvature (for time-dependent

metrics , where the bound may dep end on time)

tangent cone at V of a convex set J C IR.k

constant

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