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1.
An erect penis that naturally curves slightly upward. Angled to reach the female "G spot," this penis produces a more pleasurable sexual experience for the female, and leads to easily attainable orgasms.
"Daaaamn I love having sex with Big Papa. He has with heavens curve."

or lyrics (Tech n9ne): "You love my leg in third, cuz I'm blessed with Heavens Curve...."
by willis_ May 24, 2009
 
2.
Usually referring to a mans penis being slightly to largely curved while an erection is occuring.
Tech n9ne: "You love my leg in thrid, cuz I'm blessed with Heavens Curve...."
by mcnasty_303 April 20, 2009