Zoom Meeting id 611 507 9832

Rabinowitz action functional is the Lagrange multiplier functional of the area functional to the constraint given by the mean value of a Hamiltonian. Its little sibling is the restriction of the area to the constraint. The two action functionals have the same critical points but in general different gradient flow lines. The motivation for studying the little sibling is that it not only has the same symmetry behaviour as the Rabinowitz action functional but additionally is Chas-Sullivan additive under concatenation of loops. In the talk I will explain that on a symplectization there is a one-to-one correspondence
of gradient flow lines of the two functionals.