Definition of Diffeomorphic. Meaning of Diffeomorphic. Synonyms of Diffeomorphic

- -diffeomorphism. Two manifolds M {\displaystyle M} and N {\displaystyle N} are diffeomorphic (usually denoted M ≃ N {\displaystyle M\simeq N} ) if there is a diffeomorphism...
- then it is diffeomorphic to Rn. G. Perelman in 1994 gave an astonishingly elegant/short proof of the Soul Conjecture: M is diffeomorphic to Rn if it...
- Large deformation diffeomorphic metric mapping (LDDMM) is a specific suite of algorithms used for diffeomorphic mapping and mani****ting dense imagery...
- closed, simply connected three-manifold is homeomorphic (and in fact diffeomorphic) to the 3-sphere. Beginning in dimension 4, the classification becomes...
- differentiable manifold that is homeomorphic (i.e. shape preserving) but not diffeomorphic (i.e. non smooth) to the Euclidean space R 4 . {\displaystyle \mathbb...
- uses geodesic distances instead. Diffeomorphic Dimensionality Reduction or Diffeomap learns a smooth diffeomorphic mapping which transports the data...
- {\displaystyle \mathbb {R} ^{3}} are diffeomorphisms. It also implies that the diffeomorphic shape momentum taken pointwise satisfying the Euler–Lagrange equation...
- necessarily an open map. All manifolds of the same dimension are "locally diffeomorphic," in the following sense: if X {\displaystyle X} and Y {\displaystyle...
- -manifold M, its closed tubular neighbourhood N p {\displaystyle N_{p}} is diffeomorphic to D m {\displaystyle D^{m}} , thus we have decomposed M into the disjoint...
- {Ric} >0} being diffeomorphic to R 3 {\displaystyle \mathbb {R} ^{3}} or having its universal cover isometrically split. The diffeomorphic part is due to...