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15
451
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Disjoint union of manifolds

Published on
#differential-geometry #manifolds #smooth-manifolds
109
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Regular surface with constant mean curvature

Published on
#differential-geometry #quadratic-forms
187
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Implicit function theorem and fiber

Published on
#complex-analysis #differential-geometry #complex-geometry #implicit-function-theorem
190
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Computing the shortest path between opposite vertices in two adjacent triangles

Published on
#calculus #geometry #differential-geometry #geodesic
360
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BCH formula and exponential definition

Published on
#differential-geometry #exponential-function #lie-algebras #vector-fields
810
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Why is the tangent vector in $\mathbb{R}^3$ unique?

Published on
#multivariable-calculus #differential-geometry #vectors
70
Views

Ricci-Flat Riemannian Symmetric Spaces

Published on
#differential-geometry #lie-groups
204
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"winding number" of the map: $M \to S^3$ when $M$ is a non-orientable 3-manifold

Published on
#integration #general-topology #differential-geometry #differential-topology
154
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Generic condition for vector fields/normal sections

Published on
#differential-geometry #vector-bundles
262
Views

Classifying bundles with homogeneous space as fibers

Published on
#differential-geometry #algebraic-topology #fiber-bundles #homogeneous-spaces
95
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Skew-symmetry of $ad(X)$ in real Lie algebras

Published on
#differential-geometry #lie-algebras
85
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Notation for tensor field contractions

Published on
#differential-geometry #differential-topology #tensors
245
Views

Infinitesimal generator of a smooth $S^1$-action over $\mathbb C$

Published on
#differential-geometry #lie-groups #smooth-manifolds #symplectic-geometry
55
Views

Regular surface with Curvature mean constant

Published on
#real-analysis #linear-algebra #differential-geometry #quadratic-forms #hessian-matrix
46
Views

Defining the "rate of change of a tangent vector"

Published on
#differential-geometry

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