Gradient vector fields which characterize warped products

Nobuhiro Innami; Byung Hak Kim

doi:10.7146/math.scand.a-14322

Gradient vector fields which characterize warped products

Authors

Nobuhiro Innami
Byung Hak Kim

DOI:

https://doi.org/10.7146/math.scand.a-14322

Abstract

We find what condition on gradient vector fields characterizes warped products, Riemannian products and round spheres. To do this we apply the theory of Jacobi equations without conjugate points to the differential maps of the local one-parameter groups generated by gradient vector fields.

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Published

2001-06-01

How to Cite

Innami, N., & Kim, B. H. (2001). Gradient vector fields which characterize warped products. MATHEMATICA SCANDINAVICA, 88(2), 182–192. https://doi.org/10.7146/math.scand.a-14322