MONOTONICITY FORMULAE, VANISHING THEOREMS AND SOME GEOMETRIC APPLICATIONS

DOI10.1093/QMATH/HAT009zbMath1303.53046arXiv1203.5411OpenAlexW2964119606WikidataQ125626518 ScholiaQ125626518MaRDI QIDQ2922428

Yuxin Dong, He-Zi Lin

Publication date: 10 October 2014

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5411

zbMATH Keywords

minimal submanifoldsRicci formreal Kähler submanifoldsRicci flatnessenergy of \(p\)-forms

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential forms in global analysis (58A10) Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43)

Related Items (4)

Vanishing theorems for \(f\)-harmonic forms on smooth metric measure spaces ⋮ \(L^2\) curvature pinching theorems and vanishing theorems on complete Riemannian manifolds ⋮ Liouville-type theorems for CC-harmonic maps from Riemannian manifolds to pseudo-Hermitian manifolds ⋮ Monotonicity formulae for smooth extremizers of integral functionals

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