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i have a question on geodesics in a Eculidean space equipped with a metric tensor \lambda(x)*I, where I is the identity matrix. Is any general statement that can be made towards the geodesic between two points in this modified space?

My feel is that this space is quite special and should have some good properties but don't know how to address it.

Thanks for any suggestion!!

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# Geodesic in a curved space

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