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CLASSIFICATION OF LAGRANGIAN WILLMORE SUBMANIFOLDS OF THE NEARLY KAEHLER 6-SPHERE $S^6(1)$ WITH CONSTANT SCALAR CURVATURE
HAIZHONG LI, GUOXIN WEI
Journal:

Glasgow Mathematical Journal / Volume 48 / Issue 1 / January 2006

Published online by Cambridge University Press:

24 March 2006, pp. 53-64

Print publication:

January 2006
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In this paper, we classify 3-dimensional Lagrangian Willmore submanifolds of the nearly kaehler 6-sphere $S^6(1)$ with constant scalar curvature.

A note on real hypersurfaces of a complex projective space
Part of
- Local differential geometry
- Global differential geometry
Jung-Hwan Kwon, Hisao Nakagawa
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 47 / Issue 1 / August 1989

Published online by Cambridge University Press:

09 April 2009, pp. 108-113

Print publication:

August 1989
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We study real hypersurfaces of a complex projection space and show that there are no such hypersurfaces with harmonic curvature on which the structure vector is principal.

Totally umbilical submanifolds of quaternion-space-forms
Part of
- Local differential geometry
- Global differential geometry
Bang-Yen Chen
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics / Volume 26 / Issue 2 / September 1978

Published online by Cambridge University Press:

09 April 2009, pp. 154-162

Print publication:

September 1978
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Totally umbilical submanifolds of dimension greater than four in quaternion-space-forms are completely classified.