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15
398
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Some questions on closed geodesics

Published on
#differential-geometry #differential-topology #riemannian-geometry #geodesic
76
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Discrete commutative subgroups of Euclidean isometries form lattice

Published on
#algebraic-topology #lie-groups #riemannian-geometry #covering-spaces #lattices-in-lie-groups
875
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Example of a metric with negative scalar curvature everywhere on a sphere $S^n$

Published on
#riemannian-geometry #curvature #spheres
858
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do Carmo Riemannian Geometry Exercise 2.3: definition of $\nabla$ for an immersion - Part II

Published on
#differential-geometry #riemannian-geometry #smooth-manifolds #connections #submanifold
466
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Smooth map between Riemannian manifolds of same dimension is local isometry iff. metric is preserved

Published on
#differential-geometry #metric-spaces #riemannian-geometry
70
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Confusion about the quotient space appearing in the statement of Killing Hopf Theorem

Published on
#differential-geometry #riemannian-geometry
72
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Approximating an Integral on a Manifold

Published on
#differential-geometry #metric-spaces #riemannian-geometry #approximation
147
Views

Book recommendations for Hermitian geometry

Published on
#geometry #riemannian-geometry #book-recommendation #complex-geometry #kahler-manifolds
273
Views

Book recommendations for Riemannian geometry

Published on
#differential-geometry #reference-request #riemannian-geometry #book-recommendation
937
Views

Local formula of Laplacian on Kähler manifolds

Published on
#differential-geometry #riemannian-geometry #complex-geometry #laplacian #kahler-manifolds
374
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Harmonic functions without critical points (global isothermal coordinates)

Published on
#real-analysis #differential-geometry #partial-differential-equations #riemannian-geometry
40
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The splitting tensor of a Riemannian distribution

Published on
#riemannian-geometry #tensors
221
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Hessian of restriction of a map to the boundary of a domain

Published on
#riemannian-geometry #smooth-manifolds #maxima-minima #lagrange-multiplier #hessian-matrix
102
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Equivalence of two 1-form defining the same hyperplane field on a manifold.

Published on
#differential-geometry #riemannian-geometry #symplectic-geometry #symplectic-linear-algebra #contact-topology
220
Views

If $(M,g)$ is a Riemannian manifold and $S$ is a regular level set of $f:M\to \Bbb R$ then $\text{grad}f|_S$ is nowhere vanishing

Published on
#differential-geometry #proof-explanation #riemannian-geometry #smooth-manifolds #orientation

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