James Stanfield

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20232026

most citedA general Schwarz lemma for Hermitian manifolds

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

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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 $…