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Confusion about notation in do Carmo's Riemannian Geometry book

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#differential-geometry #riemannian-geometry #smooth-manifolds
855
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Local representation of a riemannian metric (change of coordinates)

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#differential-geometry #riemannian-geometry
668
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Hodge theory for manifolds with boundary

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#differential-geometry #reference-request #partial-differential-equations #riemannian-geometry
2.4k
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How to show that the divergence can be written as the trace of total covariant derivative, ${\rm div}={\rm tr}\circ\nabla$?

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#differential-geometry #partial-differential-equations #riemannian-geometry
43
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Name of the relation between LC connections in isometric immersions

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#differential-geometry #riemannian-geometry #isometry #connections #submanifold
77
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Whether we have $|\nabla^m \mathring A| \le C(m,n) |\nabla^m A|$?

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#differential-geometry #riemannian-geometry #tensors #mean-curvature-flows
101
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Regularity for the harmonic equation in coordinates

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#partial-differential-equations #riemannian-geometry #harmonic-functions #regularity-theory-of-pdes #elliptic-equations
165
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Metallic Riemannian manifolds

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#differential-geometry #differential-topology #riemannian-geometry #smooth-manifolds
340
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Local form of $p$-Laplacian operator in Riemannian manifold

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#differential-geometry #riemannian-geometry #laplacian #p-laplacian
73
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$N \subset K \subset M$ submanifolds, if $N$ totally geodesic in $K$, and $K$ totally geodesic in $M$, then $N$ totally geodesic in $M$.

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#differential-geometry #riemannian-geometry
96
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Writing an integrand as divergence, looking for geometric interpretations

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#differential-geometry #partial-differential-equations #riemannian-geometry #curvature
1.7k
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Quaternion Exponential Map - Lie group vs. Riemannian Manifold

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#lie-groups #riemannian-geometry #quaternions
201
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which book,or paper I should read to learn and doing some work on isometry of surfaces?

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#differential-geometry #euclidean-geometry #riemannian-geometry #surfaces #isometry
868
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Can a set of Hausdorff codimension 2 disconnect a connected open set?

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#measure-theory #differential-geometry #riemannian-geometry #geometric-measure-theory
59
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Beyond Homothetic and Killing vectors

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#differential-geometry #riemannian-geometry #lie-algebras #affine-geometry #general-relativity

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