Remarks on the warped product structure from the Hessian of a function

DOI10.3390/math6120275zbMath1425.53043OpenAlexW2900851416WikidataQ128891013 ScholiaQ128891013MaRDI QIDQ2337235

Jong Ryul Kim

Publication date: 19 November 2019

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6120275

zbMATH Keywords

mean curvaturewarped productRaychaudhuri equationgradient Yamabe soliton

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

Warped product pointwise semi slant submanifolds of Sasakian space forms and their applications ⋮ Warped product pointwise semi-slant submanifolds of cosymplectic space forms and their applications

Cites Work

• The classification of locally conformally flat Yamabe solitons
• On conjugate and focal points in semi-Riemannian geometry
• Jacobi tensors and Ricci curvature
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• On the structure of gradient Yamabe solitons
• SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS