Last update : April 23, 2024
| Date | : | April 21, 2024 |
| Venue | : | Tokyo Metropolitan University |
| Minami-Osawa Campus, Building No. 8, Room 610 | ||
| 1-1 Minami-Osawa, Hachioji-shi, Tokyo, Japan |
| 10:00-11:00 | Young Jin Suh (Kyungpook National University) | |
| "Yamabe, Ricci-Bourguignon solitons in the complex hyperbolic quadric and related parts" | ||
| 11:15-12:15 | Hyunjin Lee (Chosun University) | |
| "On cyclic parallelism for the Jacobi operator of a real hypersurface in real Grassmannians with rank 2" | ||
| Lunch Time | ||
| 14:00-15:00 | Hyunjin Lee, Young Jin Suh and Changhwa Woo* (Pukyong National University) | |
| "Complex hyperbolic quadric with ruled real hypersurfaces" | ||
| 15:15-15:45 | Yuta Sasahara (Tokyo Metropolitan University) | |
| "Examples and non-existence of 4-dimensional isoparametric hypersurfaces of index 2 in the pseudo-Riemannian space forms" | ||
| 16:00-17:00 | Hiroyuki Tasaki (Tokyo Metropolitan University/University of Tsukuba) | |
| "Maximal antipodal subgroups and covering homomorphisms with odd degree" | ||
| Slide file: PDF |
Yamabe, Ricci-Bourguignon solitons in the complex hyperbolic quadric and related parts
Young Jin Suh (Kyungpook National University)
Abstract: In this talk, we will give some classifications of real hypersurfaces with Yamabe or Ricci-Bourguignon soliton in the complex hyperbolic quadric or complex hyperbolic two-plane Grassmannians. Moreover, we will introduce some related topics for real hypersurfaces with harmonic curvature, cyclic parallel shape operator, gradient Yamabe soliton, and Fischer-Marsden conjecture in complex hyperbolic quadric or complex hyperbolic two-plane Grassmannians.
On cyclic parallelism for the Jacobi operator of a real hypersurface in real Grassmannians with rank 2
Hyunjin Lee (Chosun University)
Abstract: In this talk, we consider the notion of cyclic parallel Jacobi operator of real hypersurfaces in real Grassmannians with rank 2. Using this property, we classify all Hopf real hypersurfaces in real Grassmannians with rank 2. In particular, we will focus on the singularity of normal vector field of a real hypersurface in the real Grassmannians with rank 2.
Complex hyperbolic quadric with ruled real hypersurfaces
Hyunjin Lee, Young Jin Suh and Changhwa Woo* (Pukyong National University)
Abstract: PDF
Examples and non-existence of 4-dimensional isoparametric hypersurfaces of index 2 in the pseudo-Riemannian space forms
Yuta Sasahara (Tokyo Metropolitan University)
Abstract: We study isoparametric hypersurfaces, whose principal curvatures are all constant, in the pseudo-Riemannian space forms. We give a classification of hypersurfaces of index 2 with respect to a pair of a shape operator and a metric. Therefore, we can define types of isoparametric hypersurfaces of index 2 concerning the classification. In this talk, we give a few examples of some types. Moreover, we show that there exist no isoparametric hypersurfaces of index 2 whose shape operators have complex principal curvatures in certain cases.
Maximal antipodal subgroups and covering homomorphisms with odd degree
Hiroyuki Tasaki (Tokyo Metropolitan University/University of Tsukuba)
Abstract: We show that all of maximal antipodal subgroups in compact Lie groups, which are not necessarily connected, do not change through covering homomorphisms with odd degree. Sylow theorems in the finite group theory play important roles in our proof of this result. This is a joint work with Makiko Sumi Tanaka.
Slide file: PDF
The workshop is supported by Grant-in-Aid for Scientific Research (C) 21K03250, Japan Society for the Promotion of Science.
| Takashi Sakai | (Tokyo Metropolitan University/OCAMI) sakai-t (at) tmu.ac.jp |
| Hiroyuki Tasaki | (Tokyo Metropolitan University/University of Tsukuba) |