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Ali Taghavi
Ali Taghavi
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Is there a complete Riemannian metric on the cylinder such that the metric is not flat but the cylinder is foliated by closed geodesics with the same length?

A possibility non complete metric with the above properties is introduced in the "Remark" of the following answer:

A curvature description for center condition for quadratic vector field

Is there a complete Riemannian metric on the cylinder such that metric is not flat but the cylinder is foliated by closed geodesics with the same length?

A possibility non complete metric with the above properties is introduced in the "Remark" of the following answer:

A curvature description for center condition for quadratic vector field

Is there a complete Riemannian metric on the cylinder such that the metric is not flat but the cylinder is foliated by closed geodesics with the same length?

A possibility non complete metric with the above properties is introduced in the "Remark" of the following answer:

A curvature description for center condition for quadratic vector field

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Ali Taghavi
Ali Taghavi
  • 356
  • 8
  • 31
  • 123

A foliation of the cylinder by closed geodesics withof the same length when the metric is complete but non flat

Source Link
Ali Taghavi
Ali Taghavi
  • 356
  • 8
  • 31
  • 123

A foliation of the cylinder by closed geodesics with the same length when the metric is complete but non flat

Is there a complete Riemannian metric on the cylinder such that metric is not flat but the cylinder is foliated by closed geodesics with the same length?

A possibility non complete metric with the above properties is introduced in the "Remark" of the following answer:

A curvature description for center condition for quadratic vector field