Positive Sectional Curvatures Does not Imply Positive Gauss-Bonnet Integrand

DOI10.2307/2040798zbMath0325.53042OpenAlexW4254668622MaRDI QIDQ4089483

Robert Geroch

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2040798

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (12)

On Euler characteristic and fundamental groups of compact manifolds ⋮ On Euler number of symplectic hyperbolic manifold ⋮ On the Hopf conjecture with symmetry ⋮ Nonnegativity of the curvature operator and isotropy for isometric immersions ⋮ On the Euler characteristic of Einstein manifolds of dimension six with negativepinched sectional curvature ⋮ Strongly positive curvature ⋮ The Hopf conjecture for manifolds with low cohomogeneity or high symmetry rank ⋮ Euler characteristics of some six-dimensional Riemannian manifolds ⋮ \(C^\infty\) convex functions and manifolds of positive curvature ⋮ Curvature operators: pinching estimates and geometric examples ⋮ Three-dimensional open Riemannian space of nonnegative curvature ⋮ Vanishing theorems for L2 -cohomology groups

Cites Work

• On curvature and characteristic classes of a Riemann manifold
• On curvature and characteristic of homogeneous spaces
• Remarks on curvature and the Euler integrand
• The Six Dimensional Gauss Bonnet Integrand
• Some Implications of the Generalized Gauss-Bonnet Theorem
• Unnamed Item

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