JOSAI MATHEMATICAL MONOGRAPHS
JMM 3. Differential Geometry
Proceedings of the First International Symposium on Differential Geometry
held at Josai University, February 22 -- 24, 2001
JOSAI UNIVERSITY
Edited by
Qing-Ming CHENG
Department of Mathematics
Josai University
Contents
Foreword …………………………………………………… v
Preface …………………………………………………… vi
Program …………………………………………………… vii
List of the Contributors ………………………………ix
Construction of flat tori in the 3-sphere and its applications
By Yoshihisa Kitagawa
…………………………………….3Some Liouville type inequalities and its applications to geometric problems
By Young Jin Suh
…………………………………………11On diffeomorphisms of a hyperbolic manifold
By Midori Goto
………………………………………………21Schrodinger flow and its applications in integrable systems
By Qing Ding
………………………………………………23On surfaces with holomorphic Gauss map in a certain symmetric space
By Masatoshi Kokubu
…………………………………… 37On the Goldberg conjecture
By Kouei Sekigawa
…………………………………………43Acute triangulations of sphere and icosahedron
By Jinichi Itoh
………………………………………………53Some geometric properties of p-harmonic maps
By Shigeo Kawai
……………………………………………63Maximum principles and its applications to submanifolds
By Katsuhiro Nonaka
………………………………………71Comparison theorems for Riemannian manifolds with radial curvature
By Katsuhiro Shiohama
……………………………………81On Anand conjecture
By YuXin Dong
………………………………………………93Notes on the relative Yamabe invariant
By Kazuo Akutagawa
………………………………………105Complete submanifolds in spheres
By Qing-Ming Cheng
………………………………………115Submanifolds with degenerate Gauss mapping
By Goo Ishikawa, Makoto Kimura and Reiko Miyaoka
…125Total curvature for open submanifolds of Euclidean spaces
By Franki Dillen and Wolfgang Kuhnel
…………………………139Existence of a family of complete minimal surfaces of genus one with one end and finite
total curvature
By Katsuhiro Moriya
…………………………………………149
Programme of the Symposium
Differential Geometry
The First International Symposium on Differential Geometry
February 22-24, 2001, Josai University, Sakado, Saitama, Japan
Programme
February 22
13.10 -- 13.55
Yoshihisa Kitagawa (Utsunomiya University)
Construction of flat tori in the 3-sphere and its applications
14.05 -- 14.50
Young Jin Suh (Kyungpook National University)
Some Liouville type inequalities and its applications to geometric problems
15.10 -- 15.30
Midori Goto (Fukuoka Institute of Technology)
On diffeomorphisms of a hyperbolic manifold
15.40 -- 16.25
Qing Ding (Fudan Unversity)
Schrodinger flow and its applications in integrable systems
16.35 -- 17.20
Masatoshi Kokubu (Denki University of Tokyo)
On surfaces with holomorphic Gauss map in a certain symmetric space
February 23
9.00 -- 9.45
Kouei Sekigawa (Niigata University)
On the Goldberg conjecture
9.55 -- 10.40
Jinichi Itoh (Kumamoto University)
Acute triangulations of sphere and icosahedron
11.00 -- 11.45
Shigeo Kawai (Saga University)
Some geometric properties of p-harmonic maps
11.55 -- 12.15
Katsuhiro Nonaka (Josai University)
Maximum principles and its applications to submanifolds
13.40 -- 14.25
Katsuhiro Shiohama (Saga University)
Comparison theorems for Riemannian manifolds with radial curvature
bounded below
14.35 -- 15.20
YuXin DONG (Fudan University)
On Anand conjecture
15.40 -- 4.25
Kazuo Akutagawa (Shizuoka University)
Notes on the relative Yamabe invariant
16.35 -- 17.20
Qing-Ming Cheng (Josai University)
Complete submanifolds in spheres
February 24
9.00 -- 9.45
Goo Ishikawa, Makoto Kimura and Reiko Miyaoka (Sophia University)
Submanifolds with degenerate Gauss mapping
9.55 -- 10.40
Franki Dillen and Wolfgang Kuhnel (Katholieke University Leuven)
Total curvature for open submanifolds of Euclidean spaces
11.00 -- 11.45
Katsuhiro Moriya (University of Tsukuba)
Existence of a family of complete minimal surfaces of genus one with one
end and finite total curvature