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Add properties to Manifold and metrics

Open SaitejaUtpala opened this issue 2 years ago • 2 comments

This PR collects and adds properties to manifolds and metrics. addressing #1475

SaitejaUtpala avatar Apr 11 '22 19:04 SaitejaUtpala

Just to list out manifold properties. @ninamiolane @nguigs @ythanwerdas

  • Euclidean : Connected : True, Compact : False
  • General Linear : Connected : True, Compact: False (general linear as whole is disconnected, but since we are only instantiating with +det or -det it is always connected)
  • Grasmannian : Connected : True, Compact : True (ref : https://en.wikipedia.org/wiki/Grassmannian)
  • Heisenberg : Connected : True, Compact : True (ref : https://math.stackexchange.com/questions/434384/the-heisenberg-manifold)
  • Hermitian : Connected : True, Compact : False
  • Hyperbolic : Connected : True, Compact : False
  • Full rank matrices : Not sure
  • Full rank correlation matrices : Not Sure
  • Hypersphere : Connected : True, Compact : True
  • Lower triangular matrices : connected : True, compact : False
  • Positive Lower triangular matrices : connected : True, compact : False
  • Preshape space : Not Sure
  • rank k psd matrices : Not Sure
  • skew symmetric : Connected : True, Compact : False

SaitejaUtpala avatar Apr 14 '22 21:04 SaitejaUtpala

@SaitejaUtpala any update on this? 🙌

ninamiolane avatar May 31 '22 14:05 ninamiolane