Hyperbolic Superspaces and Super-Riemann Surfaces.

In this paper, we will generalize some results in Manin's paper (Invent Math 104:223–243, 1991) to the supergeometric setting. More precisely, viewing C 1 | 1 as the boundary of the hyperbolic superspace H 3 | 2 , we reexpress the super-Green functions on the supersphere C ^ 1 | 1 and the supertorus T 1 | 1 by some data derived from the supergeodesics in H 3 | 2 . [ABSTRACT FROM AUTHOR]