[Grammar] Looking forward vs Look forward

[keen learner]

Which is correct?
Looking forward to meeting you.
Look forward to meeting you.

 

[bhaisahab]

Which is correct?
Looking forward to meeting you.
Look forward to meeting you.

These are correct.
I am looking forward to meeting you.
I look forward to meeting you.

 

[BobSmith]

Which is correct?
1. Looking forward to meeting you.
2. Look forward to meeting you.

[AmE - not a teacher]

1. I would use this in speech or perhaps in closing a written communication:

Looking forward to meeting you,
Bob

but it is not a complete sentence, and should be considered informal.

2. This is a complete and grammatical sentence. However, it sounds strange because "Look" here is the imperative, as in "[you will] Look forward to meeting you."