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...
- differentiable manifold that is homeomorphic (i.e. shape preserving) but not diffeomorphic (i.e. non smooth) to the Euclidean space R 4 . {\displaystyle \mathbb...
- 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...
- and is diffeomorphic to a sphere with g {\displaystyle g} handles: thus if g = 0 , {\displaystyle g=0,} M {\displaystyle M} is diffeomorphic to the 2-sphere;...
- topological sphere need not be smooth; if it is smooth, it need not be diffeomorphic to the Euclidean sphere (an exotic sphere). The sphere is the inverse...
- nonnegatively curved submanifold, called a soul, whose normal bundle is diffeomorphic to the original space. From the perspective of homotopy theory, this...
- 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...