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Shortest geodesic loop on surface diffeomorphic to $\mathbb S^2$ not periodic.

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#differential-geometry #riemannian-geometry
54
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Isometries of $\mathbb{P}^n\mathbb{C}$ and $\mathbb{H}^n\mathbb{C}$

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#riemannian-geometry #isometry
78
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Calculation of Lie derivative

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#differential-geometry #riemannian-geometry
318
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On the diagonalizability of two-dimensional metrics

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#differential-geometry #partial-differential-equations #riemannian-geometry
99
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Showing that a 7-manifold has $G_{2}$ holonomy

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#differential-geometry #riemannian-geometry #holonomy #calibrated-geometry
1.3k
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When is a Riemannian manifold a Riemann surface?

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#riemannian-geometry #riemann-surfaces
360
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Calculate Christoffel symbols of the second kind from the first kind

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#differential-geometry #riemannian-geometry
473
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identity for the second fundamental form for cones

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#differential-geometry #riemannian-geometry
924
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Intuitive way to understand Gauss-Bonnet Theorem

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#differential-geometry #riemannian-geometry #intuition #curvature
315
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Riemannian metric tensor defined on (0,2)-tensors

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#riemannian-geometry #tensors
119
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How to derive spherical trigonometry of sphere of radius $r$?

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#trigonometry #riemannian-geometry
180
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Must all cristoffel symbols vanish in suitable coordinates?

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#differential-geometry #riemannian-geometry
112
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Ricci tensor of the Grassmannian manifold

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#differential-geometry #riemannian-geometry #curvature #grassmannian
274
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Computation of the differential of the multiplication map at $(e,e)$. Does the product rule hold in Lie Groups?

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#differential-geometry #lie-groups #riemannian-geometry
7k
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Proof that Integral a to b = Inegral a to c + Integral c to b

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#calculus #integration #riemannian-geometry

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