Differential geometry of geodesic spheres.
Differential geometry of geodesic spheres.
复制标题
测地球体的微分几何。
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
L. Vanhecke
中科院分区：
文献类型：
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作者：
B. Chen;L. Vanhecke
这项工作主要源于两个开放的问题，似乎是很难回答。第一个问题是在调和流形的理论。此类流形唯一已知的例子是一阶对称空间或局部平坦的黎曼流形。这仍然是一个悬而未决的问题，是否这些是唯一的调和空间。(For关于调和流形的更多细节，我们参考[4]，[22]。
This work has originated mainly from two open problems which seem to be very difficult to answer. The first problem is in the theory of harmonic manifolds. The only known examples of such manifolds are the rank one Symmetrie spaces or locally flat Riemannian manifolds. It is still an open problem whether these are the only harmonic spaces. (For more details concerning harmonic manifolds we refer to [4], [22].)