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15
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Priori estimate in $L^\infty$ norm of Poisson Equation on a compact manifold without boundary

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#analysis #partial-differential-equations #riemannian-geometry
31
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Nature of a certain invariant on smooth field of positive definite matrices

Published on
#riemannian-geometry #positive-definite
99
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Differential of exponential map on Cartan-Hadamard manifold

Published on
#differential-geometry #riemannian-geometry
122
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Geodesic distance in the (complex) projective unitary group

Published on
#reference-request #riemannian-geometry #lie-groups #unitary-matrices
92
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2nd Bianchi Identity via normal coordinates

Published on
#riemannian-geometry
95
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Basic questions about the flat torus

Published on
#functional-analysis #differential-geometry #manifolds #riemannian-geometry #curvature
45
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Can the Poincare half plane be isometrically embedded into $\mathbb{R}^3$ (with Euclidean metric)?

Published on
#riemannian-geometry #isometry #submanifold
82
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Curvature operator of a Kähler manifold with constant holomorphic sectional curvature

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#riemannian-geometry #curvature #kahler-manifolds
67
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Relating two seemingly different definitions of Riemannian metric.

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#differential-geometry #riemannian-geometry #definition #positive-definite #matrix-analysis
48
Views

Eigenvalues of laplacian on a manifold

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#functional-analysis #differential-geometry #partial-differential-equations #eigenvalues-eigenvectors #riemannian-geometry
80
Views

Why conformal map of $\mathbb R^n$ taking $H^n$ onto $H^n$ will take $\partial H^n$ into itself?

Published on
#riemannian-geometry #hyperbolic-geometry #conformal-geometry
62
Views

Is every geodesic triangle contained in a surface?

Published on
#differential-geometry #riemannian-geometry #geodesic #convex-hulls
72
Views

Lie brackets of affine vector fields

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#differential-geometry #riemannian-geometry #vector-fields #connections
62
Views

Transformation law for 1-forms on Lorentzian manifolds.

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#differential-geometry #riemannian-geometry #tensors #differential-forms #vector-bundles
54
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How to show the sphere in upper-half space is maped to a sphere by $f^{-1}$?

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#riemannian-geometry

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