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Explicit, momentum-based dynamics that optimize functions defined on Lie groups can be constructed via variational optimization and momentum trivialization.
Non-existence of continuous convex functions on certain riemannian manifolds
Shing-Tung Yau · 1974
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Curvatures of left invariant metrics on lie groups, 1976
John Milnor · 1976
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Introduction to optimization
Boris T Polyak · 1987
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Introductory lectures on convex optimization: A basic course , volume 87
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