A CLASS OF EINSTEIN SUBMANIFOLDS OF EUCLIDEAN SPACE - CHRISTOS-RAENT ONTI (UNIVERSITY OF CYPRUS)

The knowledge on the subject of Euclidean Einstein submanifolds, except those with constant sectional curvature, is quite limited. In fact, as far as we know, until now the only classification result available under purely intrinsic assumptions is in the case of hypersurfaces, due to an observation by Cartan communicated by Thomas in 1937 and the work of Fialkow from 1938. In the talk, I will discuss the characterization of a class of Einstein manifolds isometrically immersed into Euclidean space as rotational submanifolds. The highlight is for submanifolds in codimension two since in this case our assumptions are purely intrinsic. This is a joint work with Marcos Dajczer (IMPA) and Theodoros Vlachos (University of Ioannina).

We will send out the link to the virtual room for this talk on Wednesday 28th.

The schedule of the talks planned until June 2021 is available on our website https://sites.google.com/view/dgseminartorino