A new proof of the theorem: Harmonic manifolds with minimal horospheres are flat

DOI10.1007/s12044-014-0190-7zbMath1308.53061OpenAlexW2061982846MaRDI QIDQ2253698

Hemangi Shah

Publication date: 12 February 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-014-0190-7

zbMATH Keywords

Busemann functionharmonic manifoldminimal horospheres

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Riemannian geometry as determined by the volumes of small geodesic balls
• Harmonic manifolds with mimimal horospheres
• Busemann functions in a harmonic manifold
• Two theorems on harmonic manifolds