<s>
The	O
Sasaki	B-Algorithm
metric	I-Algorithm
is	O
a	O
natural	O
choice	O
of	O
Riemannian	O
metric	O
on	O
the	O
tangent	O
bundle	O
of	O
a	O
Riemannian	B-Architecture
manifold	I-Architecture
.	O
</s>
<s>
Let	O
be	O
a	O
Riemannian	B-Architecture
manifold	I-Architecture
,	O
denote	O
by	O
the	O
tangent	O
bundle	O
over	O
.	O
</s>
<s>
The	O
Sasaki	B-Algorithm
metric	I-Algorithm
on	O
is	O
uniquely	O
defined	O
by	O
the	O
following	O
properties	O
:	O
</s>
<s>
For	O
the	O
Sasaki	B-Algorithm
metric	I-Algorithm
,	O
we	O
have	O
for	O
any	O
;	O
that	O
is	O
,	O
the	O
curve	O
normally	O
crosses	O
the	O
tangent	O
spaces	O
.	O
</s>
