THE EXISTENCE OF SOME METRICS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B)

DOI10.11568/kjm.2015.23.4.733zbMath1433.53063OpenAlexW2228243317WikidataQ115243245 ScholiaQ115243245MaRDI QIDQ5217055

Song-Hwa Chae, Soo-Young Lee, Yoon-Tae Jung

Publication date: 21 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2015.23.4.733

zbMATH Keywords

scalar curvaturewarping functionRiemannian warped product manifold

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Integration on manifolds; measures on manifolds (58C35) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Some metric on Einstein Lorentzian warped product manifolds

Cites Work

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• L//2 cohomology of warped products and arithmetic groups
• Curvature functions for compact 2-manifolds
• THE EXISTENCE OF WARPING FUNCTIONS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B)
• Negative Scalar Curvature Metrics on Noncompact Manifolds
• On a construction of complete simply-connected riemannian manifolds with negative curvature
• The kaplacian on complete manifolds with warped cylindrical ends
• Conformal scalar curvature equations on complete manifolds
• Manifolds of Negative Curvature

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