典型文献
Rotational Hypersurfaces with Constant Gauss-Kronecker Curvature
文献摘要：
The authors study rotational hypersurfaces with constant Gauss-Kronecker curvature in Rn.They solve the ODE associated with the generating curve of such hyper-surface using integral expressions and obtain several geometric properties of such hyper-surfaces.In particular,they discover a class of non-compact rotational hypersurfaces with constant and negative Gauss-Kronecker curvature and finite volume,which can be seen as the higher-dimensional generalization of the pseudo-sphere.
文献关键词：
中图分类号：
作者姓名：
Yuhang LIU;Yunchu DAI
作者机构：
Beijing International Center for Mathematical Research,Peking University,Beijing 100871,China;Department of Mathematics,Building 380,Stanford University,California 94305,USA
文献出处：
引用格式：
[1]Yuhang LIU;Yunchu DAI-.Rotational Hypersurfaces with Constant Gauss-Kronecker Curvature)[J].数学年刊B辑（英文版）,2022(03):343-358
A类：
Hypersurfaces
B类：
Rotational,Constant,Gauss,Kronecker,Curvature,authors,study,rotational,hypersurfaces,constant,curvature,Rn,They,solve,ODE,associated,generating,curve,such,using,integral,expressions,obtain,several,geometric,properties,In,particular,they,discover,class,compact,negative,finite,volume,which,can,be,seen,higher,dimensional,generalization,pseudo,sphere
AB值：
0.630953
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
