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Definition of metric on a vector bundle

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#differential-geometry #vector-bundles
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ODE featuring product of derivatives

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#ordinary-differential-equations #differential-geometry
66
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Notation in differential map between differential manifolds

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#differential-geometry
796
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Smooth extension of a smooth map on an non-empty open subset of a manifold to the whole manifold.

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#proof-verification #differential-geometry #smooth-manifolds
446
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What is the wedge product of two vector fields

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#differential-geometry #notation
66
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Dimension of Unstable Manifolds of the Equilibrium Points Connected by a Heteroclinic Orbit

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#general-topology #ordinary-differential-equations #differential-geometry #differential-topology #dynamical-systems
383
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Is a manifold $N$ smoothly embedded in a manifold $M$ of the same dimension open in $M$?

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#general-topology #differential-geometry #manifolds #smooth-manifolds
134
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An isometry between totally geodesic submanifolds is smooth?

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#differential-geometry #riemannian-geometry #isometry
73
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Isothermal coordinates in a orientable riemannian surface

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#differential-geometry
132
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Is every locally Banach, Hausdorff space regular?

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#general-topology #differential-geometry #differential-topology #banach-spaces #separation-axioms
113
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Fundamental Neighborhood in Ordinary Differential Equations

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#general-topology #geometry #ordinary-differential-equations #differential-geometry #dynamical-systems
832
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Is a B-Spline always made up of Bezier curve segments?

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#differential-geometry #curves #spline #bezier-curve
2.3k
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Gaussian curvature of the pseudosphere

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#differential-geometry
45
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How much area can I see on average if I’m hovering over a deformed sphere?

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#differential-geometry
84
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Given $F(x,y)$, what does it mean to compute $dF(X)$ for $X=x \frac{d}{dx}+y\frac{d}{dy}$?

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#differential-geometry

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