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...
- Large deformation diffeomorphic metric mapping (LDDMM) is a specific suite of algorithms used for diffeomorphic mapping and mani****ting dense imagery...
- {\displaystyle \mathbb {R} ^{3}} are diffeomorphisms. It also implies that the diffeomorphic shape momentum taken pointwise satisfying the Euler–Lagrange equation...
- 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...
- sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n-sphere. That is, M is a sphere from the...
- differentiable manifold that is homeomorphic (i.e. shape preserving) but not diffeomorphic (i.e. non smooth) to the Euclidean space R 4 . {\displaystyle \mathbb...
- 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...
- continuum of non-diffeomorphic differentiable structures of R4, as was shown first by Clifford Taubes. Prior to this construction, non-diffeomorphic smooth structures...
- diffeomorphisms of the plane and the diffeomorphisms of the line, i.e. diffeomorphic changes of coordinate in both the source and the target. This action...
- necessarily an open map. All manifolds of the same dimension are "locally diffeomorphic," in the following sense: if X {\displaystyle X} and Y {\displaystyle...