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Uniqueness and non-uniqueness of metrics with prescribed scalar and mean curvature on compact manifolds with boundary

✍ Scribed by José F. Escobar

Book ID
108344147
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
214 KB
Volume
202
Category
Article
ISSN
0022-1236

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✍ Pawel Gajer 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 463 KB

We prove that any metric of positive scalar curvature on a manifold X extends to the trace of any surgery in codim > 2 on X to a metric of positive scalar curvature which is product near the boundary. This provides a direct way to construct metrics of positive scalar curvature on compact manifolds w