New posts in riemannian-geometry

Hamiltonian for Geodesic Flow

differential-geometry riemannian-geometry vector-bundles geodesic gradient-flows

Covariant derivative of vector field along itself: $\nabla_X X$

differential-geometry riemannian-geometry connections

Metric Isometry is always smooth?

metric-spaces riemannian-geometry smooth-manifolds metric-geometry

Hyperbolic metric geodesically complete

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Each point of $M$ has a smooth coordinate neighborhood in which the coordinate frame is orthonormal iff $g$ is flat

differential-geometry manifolds riemannian-geometry

How to prove that a left-invariant metric on a Lie group is smooth?

differential-topology lie-groups riemannian-geometry smooth-manifolds smooth-functions

Example for conjugate points with only one connecting geodesic

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Prerequisite for Petersen's Riemannian Geometry

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Riemannian geometry: ...Why is it called 'Exponential' map?

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Since the Curvature tensor depends on a connection (not metric), is it the relevant quantity to characterize the curvature of Riemannian manifolds?

differential-geometry riemannian-geometry smooth-manifolds curvature affine-geometry

Can a conformal map be turned into an isometry?

differential-geometry riemannian-geometry functional-equations conformal-geometry

Isotropic Manifolds

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Norm Inequality on a Compact Riemannian Manifold

partial-differential-equations manifolds riemannian-geometry compact-manifolds

Tensors constructed out of metric other than the Riemann curvature tensor

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why is the spectrum of the schrödinger operator discrete?

riemannian-geometry spectral-theory

Gradient of a function restricted to a submanifold

differential-geometry riemannian-geometry

Lie derivative "commutes" with pullback by time dependent diffeomorphisms

geometry differential-geometry manifolds riemannian-geometry smooth-manifolds

Metric of the flat torus

riemannian-geometry

Existence of closed, non self-intersecting geodesics on compact manifolds

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geodesics on a surface of revolution

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