On the geometry of conullity two manifolds

DOI10.1016/j.difgeo.2023.102081arXiv2305.06381OpenAlexW4388962358MaRDI QIDQ6149167

Jacob Van Hook

Publication date: 5 February 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.06381

zbMATH Keywords

Riemannian manifoldstotally geodesic foliationsconnullity

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

Cites Work

• Unnamed Item
• Manifolds of nonpositive curvature
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• Geodesic foliations in Lorentz 3-manifolds
• Curvature homogeneous Riemannian manifolds
• The nullity spaces of curvature-like tensors
• An example of Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\) but not \(\nabla R=0\).
• Maniflods with conullity at most two as graph manifolds
• A class of austere submanifolds

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