3 papers
math.DG2026
Ricci solitons as critical points of quadratic curvature functionals
Atreyee Bhattacharya, Sayoojya Prakash
Rigidity, stability and local minimizing properties of Einstein metrics as critical points of quadratic Riemannian functionals defined by -norms of Ricci curvature, scalar cur…
math.DG2026
Quasi-Einstein Metrics and a curvature identity associated with the Ricci flow
Atreyee Bhattacharya, Sayoojya Prakash
Quasi-Einstein manifolds are well-studied generalizations of Einstein manifolds. This includes gradient Ricci solitons and has a natural correspondence with the warped product Eins…
math.DG2026
Rigidity of conformal submersions and quasi-Einstein manifolds
Atreyee Bhattacharya, Sayoojya Prakash
In this paper, we study two notions of rigidity, one of conformal submersions and the other of quasi Einstein manifolds, with an attempt to relate the two notions. Note that a smoo…