Supermanifolds, symplectic geometry and curvature
Rosal\'ia Hern\'andez-Amador, Juan Monterde, Jos\'e A Vallejo
TL;DR
This paper surveys the concept of scalar curvature within symplectic supermanifolds, exploring key results and open questions in this specialized area of differential geometry.
Contribution
It provides a comprehensive overview of scalar curvature in symplectic supermanifolds, highlighting recent results and identifying open problems.
Findings
Summary of existing results on scalar curvature in symplectic supermanifolds
Identification of key open questions in the field
Connections between symplectic geometry and supergeometry
Abstract
We present a survey of some results and questions related to the notion of scalar curvature in the setting of symplectic supermanifolds.
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