If the oil leakage is found on it, replace the steering damper with a new one (see Steering Damper Removal/ Installation in the Steering chapter).

ZX1000JD/KD [B]

Steering Stem Bearing LubricationStem, Stem Bearing Installation
Replace the bearing outer races with new ones.
Drive them into the head pipe at the same time.
Special Tools - Head Pipe Outer Race Press Shaft [A]:
57001-1075
Head Pipe Outer Race Driver,
55 [B]: 57001
-1446 or Bearing Driver Set: 57001-1129
Apply grease to the outer races.
...
Chassis Parts Lubrication
Before lubricating each part, clean off any rusty spots with
rust remover and wipe off any grease, oil, dirt, or grime.
Lubricate the points listed below with indicated lubricant.
NOTE
Whenever the vehicle has been operated under
wet or rainy conditions, or especially after using a
high ...
Antenna Resistance Inspection
Turn the ignition switch to OFF.
Remove the air cleaner housing (see Air Cleaner Housing
Removal in the Fuel System (DFI) chapter).
Disconnect the antenna lead connector [A].
Measure the antenna resistance.
Antenna Resistance
Connections: BK lead ←→ BK/W lead
Standard: Ab ...