Splitting submanifolds in rational homogeneous spaces of Picard number one

  title={Splitting submanifolds in rational homogeneous spaces of Picard number one},
  author={Cong Ding},
  journal={Mathematische Zeitschrift},
  • C. Ding
  • Published 29 December 2020
  • Mathematics
  • Mathematische Zeitschrift
Let M be a complex manifold. We prove that a compact submanifold $$S\subset M$$ S ⊂ M with splitting tangent sequence (called a splitting submanifold) is rational homogeneous when M is in a large class of rational homogeneous spaces of Picard number one. Moreover, when M is irreducible Hermitian symmetric, we prove that S must be also Hermitian symmetric. These cover some of the results given in Jahnke (Math Z 251(3):491-507, https://doi.org/10.1007/s00209-005-0817-6 , 2005). The basic tool we… 



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