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osu1313451926.pdf (188.29 KB)
ETD Abstract Container
Abstract Header
Classification of complete real Kähler Euclidean submanifolds in codimension three
Author Info
Hui, Wing San
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1313451926
Abstract Details
Year and Degree
2011, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
We show that if the second fundamental form
α
of a real Kähler Euclidean submanifold
f
:
M
2
n
→ ℝ
2
n
+
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
f̄
:
M̄
2
n
+2
→ ℝ
2
n
+
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.
Committee
Fangyang Zheng (Advisor)
Andrzej Derdzinski (Committee Member)
Bo Guan (Committee Member)
Pages
41 p.
Subject Headings
Mathematics
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Hui, W. S. (2011).
Classification of complete real Kähler Euclidean submanifolds in codimension three
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1313451926
APA Style (7th edition)
Hui, Wing San.
Classification of complete real Kähler Euclidean submanifolds in codimension three.
2011. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1313451926.
MLA Style (8th edition)
Hui, Wing San. "Classification of complete real Kähler Euclidean submanifolds in codimension three." Doctoral dissertation, Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1313451926
Chicago Manual of Style (17th edition)
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Document number:
osu1313451926
Download Count:
528
Copyright Info
© 2011, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.