Peter Petersen

most citedWarped product Einstein metrics over spaces with constant scalar curvature

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.DG2025

Poincaré Polynomials and Curvature Operators of Symmetric Spaces

Peter Petersen, James Stanfield

We compute explicit formulas for the curvature operators and Poincaré polynomials of all compact irreducible symmetric spaces. We can easily derive the Poincaré polynomials using q…

math.DG2025

Vanishing theorems for Hodge numbers and the Calabi curvature operator

Kyle Broder, Jan Nienhaus, Peter Petersen +2

It is shown that a compact $n$ -dimensional Kähler manifold with $\frac{n}{2}$ -positive Calabi curvature operator has the rational cohomology of complex projective space. For even $…

math.DG2010★ 2 cited

Warped product Einstein metrics over spaces with constant scalar curvature

Chenxu He, Peter Petersen, William Wylie

In this paper we study warped product Einstein metrics over spaces with constant scalar curvature. We call such a manifold rigid if the universal cover of the base is Einstein or i…