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                                                                                              CONTENTS

List of Speakers

Deane YANG (New York University, USA).................................................................................................................................. 1
Affine geometry using the homogeneous contour integral

Gaoyong ZHANG (New York University, USA).......................................................................................................................... 13
A lecture on integral geometry

Jurgen BERNDT (King's College London, United Kingdom).................................................................................................. 31
A note on hypersurfaces in symmetric spaces

Yoshihiro OHNITA (OCAMI & Osaka City University, Japan)................................................................................................ 43
Geometry of Lagrangian submanifolds and isoparametric hypersurfaces

Yong DAI (The South Guizhou Normal College for Nationalities, China),
Wenxue XU (Southwest University, China),
and Jiazu ZHOU (Southeast Guizhou College of Vocation and Technology for Nationalities, China)......................... 69
Some Bonnesen style inequalities and planar isoperimetric Deficit upper limit

Shuangshan YUE (Southwest University, China),
Wenxue XU (Southwest University, China),
and Jiazu ZHOU (Southwest University, China)....................................................................................................................... 77
The isoperimetric Deficit upper limit for the convex body in Rn

Naoyuki KOIKE (Tokyo University of Science, Japan)............................................................................................................. 87
Homogeneity of an equifocal submanifold and a proper complex equifocal submanifold

Hiroshi TAMARU (Hiroshima University, Japan)..................................................................................................................... 111
Homogeneous submanifolds in noncompact symmetric spaces

Takashi SAKAI (Tokyo Metropolitan University, Japan)........................................................................................................ 145
Introduction to integral geometry in Riemannian homogeneous spaces

Yong Seung CHO (EwhaWomans University, Korea)............................................................................................................... 163
Geodesic surface congruences and Jacobi equations

Byung Hak KIM (Kyung Hee University, Korea)....................................................................................................................... 171
On the 5-dimensional Sasaki-Einstein manifold

Seoung Dal JUNG (Jeju National University, Korea)................................................................................................................. 177
Transversal infinitesimal automorphisms on foliated Riemannian manifolds

Imsoon JEONG (Kyungpook National University, Korea),
Carlos J.G. MACHADO (Universidad de Granada, Spain),
Juan de Dios P EREZ (Universidad de Granada, Spain),
and Young Jin SUH (Kyungpook National University, Korea).............................................................................................. 189
Real hypersurfaces in complex two-plane Grassmannians with D?-parallel structure Jacobi operator
Imsoon JEONG (Kyungpook National University, Korea),

Hyunjin LEE (Kyungpook National University, Korea),
and Young Jin SUH (Kyungpook National University, Korea)................................................................................................ 203
Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator

Nobutaka BOUMUKI (Osaka City University Advanced Mathematical Institute, Japan),
and Josef F. DORFMEISTER (Zentrum Mathematic, Germany).............................................................................................. 217
On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps