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Fermi coordinates

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#reference-request #riemannian-geometry #smooth-manifolds #geodesic
723
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Could we compute integral of $z_i\bar{z_j}/\sum |z_k|^2$ on $\mathbb{C}P^n$ with the Fubini-Study metric?

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#differential-geometry #algebraic-geometry #riemannian-geometry #complex-geometry
240
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Is there an area preserving map between spheres of different radii?

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#riemannian-geometry #area #volume #spheres
157
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Surface Normal of Embedded Manifold in Riemannian Space

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#differential-geometry #manifolds #riemannian-geometry #tensors #submanifold
132
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Existence of special diffeomorphism

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#differential-geometry #riemannian-geometry #mean-curvature-flows
87
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How to compute the Volume of a metric ball in a cylinder?

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#metric-spaces #riemannian-geometry
103
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Reference or proof of $ \lim_{r\to 0}\sup_{y:0<d(y,x)\leq r}\frac{|f(y)-f(x)|}{d(x,y)} = |\nabla f(x)|,$ on Riemannian manifolds

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#differential-geometry #metric-spaces #riemannian-geometry #geometric-topology #differential
222
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Potential Energy in Geometric Mechanics

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#differential-geometry #riemannian-geometry #classical-mechanics
692
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Composition of exponential with an isometry

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#differential-geometry #riemannian-geometry #isometry
5k
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The gradient on sphere

Published on
#riemannian-geometry #spherical-coordinates
218
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Hamiltonian time-invariance

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#riemannian-geometry #classical-mechanics
1.1k
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Why is the Hyperbolic plane $\delta$-hyperbolic?

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#metric-spaces #riemannian-geometry #hyperbolic-geometry
441
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Find Christoffel Coefficients

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#differential-geometry #riemannian-geometry #surfaces
2.5k
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What is the mathematical motivation behind metric geometry

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#riemannian-geometry #motivation #metric-geometry
75
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if robot configuration space is riemannian manifold, how can the Lyapunov based controller design must to proceed

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#differential-geometry #riemannian-geometry #control-theory

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