A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in Cⁿ

We show a second main theorem of Nevalinna theory for meromorphic functions on complex submanifolds in Cⁿ . This has a similar form to the classical one and has a remainder term including Ricci curvature. We also give a concrete computation of the remainder term in the case of nonsingular algebraic submanifolds.