D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders

DOI10.1007/s13163-022-00444-zzbMath1530.53068arXiv2110.03678MaRDI QIDQ6052380

Amr Elnashar, Balázs Csikós, Márton Horváth

Publication date: 21 September 2023

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03678

zbMATH Keywords

geodesic spheretotal scalar curvatureD'Atri spacesgeodesic hemispheretubes about curves

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Mean value operators, differential operators and D'Atri spaces
• Harmonic manifolds and tubes
• The Ledger curvature conditions and D'Atri geometry
• On harmonic and asymptotically harmonic homogeneous spaces
• Harmonic manifolds and the volume of tubes about curves
• The Volumes of Tubes about Curves in a Riemannian Manifold
• Differential geometry of geodesic spheres.
• Total Scalar Curvature of Tubes about Curves

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