摘要
根据黎曼流形上光滑函数的Hessian以及共形黎曼度量的定义,通过计算,直接推导出黎曼流形上光滑函数的Hessian的分量在共形黎曼度量下的关系式.
According to the definition of the Hessian of the smooth function on Riemannian manifolds and the definition of the conformal Riemannian metric,we derive the relational expression of the Hessian component of the smooth function on Riemannian manifolds under the conformal Riemannian metric through direct calculation.
作者
田大平
汪敏
TIAN Daping;WANG min(School of Artificial Intelligence, Jianghan University, Wuhan 430056, China)
出处
《湖北大学学报(自然科学版)》
CAS
2021年第6期667-670,共4页
Journal of Hubei University:Natural Science