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Non-ellipticity of Yang-Mills equations

Published on
#differential-geometry #partial-differential-equations #riemannian-geometry #gauge-theory
184
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Parallel Transport of Geodesic Velocity Vectors

Published on
#differential-geometry #riemannian-geometry #geodesic
667
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Question on Torsion free condition for Levi-Civita connection

Published on
#riemannian-geometry
1.7k
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Ricci Tensor, Curvature and Scalar Curvature computation from definition

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#differential-geometry #riemannian-geometry #curvature
695
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When do isometries commute with the compatible derivative operator on a semi-Riemannian manifold?

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#differential-geometry #riemannian-geometry #mathematical-physics #smooth-manifolds #semi-riemannian-geometry
232
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Question about a Riemannian metric

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#differential-geometry #manifolds #riemannian-geometry #geodesic
488
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Example of complete not-connected riemannian manifold

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#manifolds #riemannian-geometry #geodesic
783
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Why is the matrix of a Riemannian metric positive definie?

Published on
#linear-algebra #riemannian-geometry
2.7k
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Is a Riemannian metric a $2$-form?

Published on
#differential-geometry #metric-spaces #riemannian-geometry
1.3k
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Is there any difference between a flat manifold and an affine space?

Published on
#manifolds #riemannian-geometry #affine-geometry
159
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An assumption used to derive the curvature tensor for Riemannian submersions

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#riemannian-geometry #curvature
634
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What meaning did Riemann assign to $dx$?

Published on
#integration #reference-request #riemannian-geometry #math-history #infinitesimals
890
Views

What is the adjoint of the connection operator on a Clifford bundle?

Published on
#riemannian-geometry #clifford-algebras
943
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Are the topology of a manifold and the topology induced by the metric of a manifold the same?

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#general-topology #differential-geometry #manifolds #riemannian-geometry
745
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Constant curvature geodesic circles on a surface with constant Gauss curvature

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#differential-geometry #riemannian-geometry #surfaces #curvature #geodesic

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