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Classification of complete real Kähler Euclidean submanifolds in codimension three
Hui, Wing San

2011, Doctor of Philosophy, Ohio State University, Mathematics.
We show that if the second fundamental form α of a real Kähler Euclidean submanifold f: M2n → ℝ2n+p of codimension p ≥ 3 splits orthogonally as α = α′ ⊕ γ, with image of γ spans a rank 2 subbundle of the normal bundle and satisfies some symmetry with respect to the complex structure, then the submanifold can be extended to a real Kähler Euclidean submanifold
: 2n+2 → ℝ2n+p
with 2 higher real dimensions. Using this result, we can describe a class of codimension 3 real Kähler Euclidean submanifold that can be extended to a real Kähler hypersurface. In addition, in codimension 3, we describe some of the the non-minimal situations by showing that f is a cylinder over a real Kähler curve, surface or threefold.
Fangyang Zheng (Advisor)
Andrzej Derdzinski (Committee Member)
Bo Guan (Committee Member)
41 p.

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Hui, W. (2011). Classification of complete real Kähler Euclidean submanifolds in codimension three. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Hui, Wing San. "Classification of complete real Kähler Euclidean submanifolds in codimension three." Electronic Thesis or Dissertation. Ohio State University, 2011. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Hui, Wing San "Classification of complete real Kähler Euclidean submanifolds in codimension three." Electronic Thesis or Dissertation. Ohio State University, 2011. https://etd.ohiolink.edu/

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