We calculate the first obstruction to regular homotopy of an immersion f: M(n) --> R(n + k) into r-degrees-f for a reflection r of R(n + k). In the case of k = n - 1 we give necessary and sufficient conditions for ...We calculate the first obstruction to regular homotopy of an immersion f: M(n) --> R(n + k) into r-degrees-f for a reflection r of R(n + k). In the case of k = n - 1 we give necessary and sufficient conditions for f to be regularly homotopic to r-degrees-f in terms of obstructions to the existence of a normal vectorfield of f.展开更多
基金Supported partly by the National Science of China.
文摘We calculate the first obstruction to regular homotopy of an immersion f: M(n) --> R(n + k) into r-degrees-f for a reflection r of R(n + k). In the case of k = n - 1 we give necessary and sufficient conditions for f to be regularly homotopic to r-degrees-f in terms of obstructions to the existence of a normal vectorfield of f.
