Solutions and almost solutions of the Gauss equation of SU (3)/SO (3)

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Title ( eng )
Solutions and almost solutions of the Gauss equation of SU (3)/SO (3)
Title ( jpn )
SU (3)/SO (3) のガウス方程式の解と概解
Creator
Contributors 国立情報学研究所
Source Title
広島大学総合科学部紀要. IV, 理系編
Memoirs of the Faculty of Integrated Arts and Sciences, Hiroshima University. IV, Science reports
Volume 25
Start Page 1
End Page 10
Abstract
We give new solutions and almost solutions of the Gauss equation of the Riemannian symmetric spaces SU (3)/SO (3) and its non-compact dual in codimensions 4 and 5,which improve the previously known estimates on the codimension. We also give experimental estimates on the infimum of the norm ∥γ_r (α) ±R∥ for each codimension r, where R is the curvature of SU (3)/SO (3), and α runs all over the space of second fundamental forms.
Keywords
local isometric imbedding
Riemannian symmetric space
Gauss equation
curvature
NDC
Mathematics [ 410 ]
Language
eng
Resource Type departmental bulletin paper
Publisher
広島大学総合科学部
Date of Issued 1999-12-28
Publish Type Version of Record
Access Rights open access
Date
[Created] 2006-03-21
Source Identifier
[ISSN] 1340-8364
[NCID] AN10435936