Circles in compact homogeneous Riemannian spaces and immersions of finite type
Published online by Cambridge University Press: 18 July 2002
Extract
A unit speed curve \gamma =\gamma (s) in a Riemannian manifold N is called a circle if there exists a unit vector field Y(s) along \gamma and a positive constant k such that \nabla _s \gamma '(s)=k Y(s),\, \nabla _s Y(s)=-k \gamma '(s). The main purpose of this article is to investigate the fundamental relationships between circles, maximal tori in compact symmetric spaces, and immersions of finite type.
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- Research Article
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- Copyright
- 2002 Glasgow Mathematical Journal Trust
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