컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0203 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (GE) Geometry (GE) |
| 발표시간(Time) | 19th-A-11:30 -- 11:50 |
| 영문제목 (Title(Eng.)) |
Geometric means and gyrolines |
| 저자(Author(s)) |
Sejong Kim1 Chungbuk National University1 |
| 초록본문(Abstract) | We introduce gyrogroup and gyrovector space, which provide an algebraic tool for the hyperbolic geometry and the theory of special relativity. As a special case, we construct the gyrovector space on the cone of positive definite matrices and see the connections between gyroline and metric geometric mean, cogyroline and spectral geometric mean. Furthermore, we give a geometric property of the spectral geometric mean in terms of geodesic. |
| 분류기호 (MSC number(s)) |
53C22, 47B65 |
| 키워드(Keyword(s)) | Positive definite matrix, geometric mean, gyrovector space, gyroline |
| 강연 형태 (Language of Session (Talk)) |
Korean |