Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A class of Einstein submanifolds of Euclidean space

Christos-Raent Onti

created by raffero on 18 Mar 2021
modified on 14 Apr 2021

29 apr 2021 -- 17:00

Differential Geometry Seminar Torino (online)

Abstract.

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).

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The link of the virtual room will be sent one day before the talk to all registered participants. To register, please send an e-mail to dgseminar.torino@gmail.com

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