David Marx

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Manifolds

Manifolds

Jun 18, 20251 min read

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In mathematics, a Manifolds is a space that might be complex globally but resembles simpler Euclidean Space locally. For instance, the surface of a sphere is a 2-dimensional manifold: although it’s curved and exists in 3-dimensional space, any small enough area of the sphere looks flat, much like a piece of paper (which is a 2-dimensional space).

See also:

  • Manifold Hypothesis
  • Differential Geometry
  • Metric Space Topology
  • Metric Space
  • Latent Space
  • Manifold Learning
  • Representation Learning

Graph View

Backlinks

  • Alpha-Geometry
  • Connection on a Manifold
  • Continuity
  • Differential Forms
  • Differential Geometry
  • Euler Characteristic
  • Gauss-Bonnet Theorem
  • Generalized Stokes' Theorem
  • Geometric Topology
  • Geometry
  • Hodge Decomposition
  • Manifold Hypothesis
  • Manifolds
  • Mathematical Spaces
  • Parallel Transport
  • Space of Positive Definite Matrices
  • Tangent Space
  • Topological Invariants

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