摘要
证明了在奇数维紧致定向 Riemann流形上 ,Killing场不存在孤立奇点 ,而在偶数维紧致定向Riemann流形上 ,Killing场的孤立奇点指标为 +1。
In this paper, we prove this result: let M be a compact orientable Riemannian manifold, if dimM is even ,then index of an isolated singular point of Killing field on M is +1, if dimM is odd, then the singular point of Killing field on M isn't isolated.
出处
《云南师范大学学报(自然科学版)》
2000年第6期9-12,共4页
Journal of Yunnan Normal University:Natural Sciences Edition