The theory of finite type submanifolds was introduced by the first author in late 1970s and it has become a useful tool for investigation of submanifolds. Later, the first author and P. Piccinni extended the notion of finite type submanifolds to finite type maps of submanifolds; in particular, to submanifolds with finite type Gauss map. Since then, there have been rapid developments in the theory of finite type.
The simplest finite type submanifolds and submanifolds with finite type Gauss maps are those which are of 1-type. The classes of such submanifolds constitute very special and interesting families in the finite type theory.
Finite type submanifold Gauss map spherical Gauss map hyperbolic Gauss map 1-type submanifold self-intersection number
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Publication Date | April 30, 2023 |
Acceptance Date | February 19, 2023 |
Published in Issue | Year 2023 Volume: 16 Issue: 1 |