Fundamentals Of Differential Geometry

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Differential Geometry and Lie Groups (2020, methodology): “For a full account of this theory, see Lang [75] or Berger and Gostiaux [15].”
Moser Flow: Divergence-based Generative Modeling on Manifolds (2021, methodology): “…to asking that Φ ∗ t ˆ α t is constant, i.e., d dt The time derivative of Φ ∗ t ˆ α t can be computed with the help of the Lie derivative (e.g., Proposition 5.2 in Lang (2012)): If Φ t is the ﬂow corresponding to the time dependent vector ﬁeld v t (see equation 3), and ω is a differential form…”
Anosov representations and dominated splittings (2016, unknown): “11 are, for example, [Ebe], [GJT], [Hel], [Lang].”
Compactness analysis for free boundary minimal hypersurfaces (2017, background): “3 in [24]), so we need to check surjectivity of D(H,Θ) at (γ0, u0) and splitting of the domain (which is implied by the existence of a bounded linear projector onto kerD(H,Θ)(γ0, u0) ⊂ Γ × X).”