From Diffgeom
Revision as of 19:47, 18 May 2008 by Vipul (talk | contribs) (1 revision)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


Let M and N be differential manifolds. A differentiable map f:M \to N is termed an immersion at a point m \in M, the induced map df_m: T_mM \to T_{F(m)}N is injective.

f is called an immersion if it is an immersion at every point in M.

We also say that M is an immersed manifold in N.

Related notions