| 1. | The 6-submanifold is a connected component of the spacetime.
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| 2. | Note that the restricted submanifold is a section of the bundle instead.
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| 3. | Suppose that " ? " is an immersion onto the submanifold.
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| 4. | There is an intrinsic definition of an embedded submanifold which is often useful.
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| 5. | The intersection gives a submanifold of the hypersphere.
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| 6. | Unlike the projective case, ideal points form a boundary, not a submanifold.
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| 7. | This shows that is an embedded submanifold of.
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| 8. | Is a smooth 1-dimensional submanifold.
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| 9. | The induced metric on this submanifold,
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| 10. | A neat submanifold is a manifold whose boundary agrees with the boundary of the entire manifold.
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