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Results tagged with riemannian-geometry
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user 6526
Riemannian Geometry is a subfield of Differential Geometry, which specifically studies "Riemannian Manifolds", manifolds with "Riemannian Metrics", which means that they are equipped with continuous inner products.
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answers
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Relationship between spectrum geometry and almost-isometry
Sorry, I misuse the concept of quasi-isometry, I mean almost isometry(also called a Hausdorff approximation).
As we known, isometric Riemann manifolds have the same spectrum of Laplace-Beltrami. And …
- 135
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How to derive an energy measure of metric deforming
The problem is an abstract from applied science.
Given an $n$ dimensional Riemann manifold with metric $\langle M, g\rangle$, we could define deformation of the metric $g(t)$ where $t\in [0,1]$, for …
- 135