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initial version

This is because SageManifolds is not fully integrated in SageMath 7.3. Only the part corresponding to the tickets #15916 to #18783 in the list https://trac.sagemath.org/ticket/18528 is there. As you can see, tangent spaces (ticket #19092) is not in SageMath yet. Hopefully, it will be in version 7.4. Meanwhile, simply install the full SageManifolds atop SageMath 7.3 by following these instructions.

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No.2 Revision

This is because SageManifolds is not fully integrated in SageMath 7.3. Only the part corresponding to the tickets #15916 to #18783 in the list https://trac.sagemath.org/ticket/18528 is there. As you can see, tangent spaces (ticket #19092) is are not in SageMath yet. Hopefully, it will be in version 7.4. Meanwhile, simply install the full SageManifolds atop SageMath 7.3 by following these instructions.

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No.3 Revision

This is because SageManifolds is not fully integrated in SageMath 7.3. Only the part corresponding to the tickets #15916 to #18783 in the list https://trac.sagemath.org/ticket/18528 is there. As you can see, tangent spaces (ticket #19092) are not in SageMath yet. Hopefully, it will be in version 7.4. Meanwhile, simply install the full SageManifolds atop SageMath 7.3 by following these instructions. and all the S^2 examples should pass.