I have seen this written down and wanted to check on the meaning. When someone states that the scalar second fundamental form is trivial, does that mean that the second fundamental form vanishes and hence that the submanifold is totally geodesic, or that the second fundamental form takes some trivial form?
2026-03-25 12:19:27.1774441167
What does it mean for the Second Fundamental Form to be 'Trivial'?
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