A generalised Ricci-Hessian equation [3pt] on Riemannian manifolds

Nicolas Ginoux and Georges Habib

Address:
Université de Lorraine, CNRS, IECL, F-57000 Metz
Université de Lorraine, CNRS, IECL, F-57000 Metz and Lebanese University, Faculty of Sciences II, Department of Mathematics, P.O. Box 90656 Fanar-Matn, Lebanon

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Abstract: In this paper, we prove new rigidity results related to some generalised Ricci-Hessian equation on Riemannian manifolds.

AMSclassification: primary 53C20; secondary 58J60.

Keywords: Obata equation, Tashiro equation, virtual Einstein equation.

DOI: 10.5817/AM2025-3-101