On the Scalar Curvature Equations in high dimension

DOI10.1515/ans-2002-0403zbMath1029.53049OpenAlexW2513301290MaRDI QIDQ4795649

Ridha Yacoub

Publication date: 5 February 2004

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2002-0403

zbMATH Keywords

homologyMorse indexscalar curvature problemintersection numbercritical points at infinity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Chain complexes (category-theoretic aspects), dg categories (18G35) Other special methods applied to PDEs (35A25)

Related Items (4)

The fractional CR curvature equation on the three-dimensional CR sphere ⋮ Bahri invariants for fractional Nirenberg-type flows ⋮ Prescribing Morse scalar curvatures: incompatibility of non existence ⋮ Prescribing the Webster scalar curvature on CR spheres

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