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The unit tangent bundle of two2- or four manifolds4-manifolds as a principal $S^{1}$- or $S^{3}$ principle bundle-bundle
What type of obstructions have been studied for a Riemannian two (four) manifold for which so that the unit tangent bundle has an structureof a Riemannian 2-(4-)manifold have a structure of a principal$S^{1}$-($S^{3}$-)principle bundlebundle?
The unit tangent bundle of two or four manifolds as $S^{1}$ or $S^{3}$ principle bundle
What type of obstructions have been studied for a Riemannian two (four) manifold for which the unit tangent bundle has an structure of a $S^{1}$($S^{3}$)principle bundle?
The unit tangent bundle of 2- or 4-manifolds as a principal $S^{1}$- or $S^{3}$-bundle
What type of obstructions have been studied so that the unit tangent bundle of a Riemannian 2-(4-)manifold have a structure of a principal$S^{1}$-($S^{3}$-)bundle?
The unit tangent bundle of two or four manifolds as $S^{1}$ or $S^{3}$ principle bundle
What type of obstructions have been studied for a Riemannian two (four) manifold for which the unit tangent bundle has an structure of a $S^{1}$ ( $S^{3}$ )principle bundle?