Busemann functions on manifolds with lower bounds on Ricci curvature and minimal volume growth

DOI10.4310/jdg/1214460863zbMath0901.53029arXivmath/9903172OpenAlexW1513360593WikidataQ115174580 ScholiaQ115174580MaRDI QIDQ1127884

Christina Sormani

Publication date: 2 September 1998

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903172

zbMATH Keywords

Ricci curvatureGromov-Hausdorff limitBusemann functionnoncompact manifoldvolume comparisongeodesic raydoubly warped productsminimal volume growth

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (12)

Busemann functions on the Wasserstein space ⋮ Conformal tori with almost non-negative scalar curvature ⋮ Non-compact \(\mathrm{RCD}(0,N)\) spaces with linear volume growth ⋮ Isometry theorem of gradient shrinking Ricci solitons ⋮ Fenchel conjugate via Busemann function on Hadamard manifolds ⋮ A new approach about equilibrium problems via Busemann functions ⋮ An almost rigidity theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth ⋮ Busemann Functions in Asymptotically Harmonic Finsler Manifolds ⋮ Horo-functions associated to atom sequences on the Wasserstein space ⋮ On the volume growth of Kählerian manifolds with positive curvature near infinity ⋮ Geometry of positive scalar curvature on complete manifold ⋮ Combinatorial convexity in Hadamard manifolds: existence for equilibrium problems

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