상세 보기
초록
We show that on a Hermitian surface M, if M is weakly *-Einstein and has J-invariant Ricci tensor then M is Einstein, and vice versa. As a consequence, we obtain that a compact *-Einstein Hermitian surface with J-invariant Ricci tensor is Kahler. In contrast with the 4-dimensional case, we show that there exists a compact Einstein Hermitian (4n + 2)-dimensional manifold which is not weakly *-Einstein.
키워드
Hermitian surface; weakly *-Einstein; J-invariant Ricci tensor; Einstein; vice versa; *-Einstein; Kahler; compact Einstein Hermitian (4n+2)-dimensional manifold
- 제목
- ON EINSTEIN HERMITIAN MANIFOLDS II
- 저자
- Kim, Jaeman
- 발행일
- 2009-03
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 46
- 호
- 2
- 페이지
- 289 ~ 294