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Title of Journal: Arch Math

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Abbravation: Archiv der Mathematik

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Springer International Publishing

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DOI

10.1016/0021-9517(81)90097-x

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1420-8938

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A characterization of the Emphasis Type="Italic"

Authors: Ping Li
Publish Date: 2015/11/13
Volume: 106, Issue: 1, Pages: 85-90
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Abstract

We show in this short note that if a rational linear combination of Pontrjagin numbers vanishes on all simplyconnected 4kdimensional closed connected and oriented spin manifolds admitting a Riemannian metric whose Ricci curvature is nonnegative and not identically zero then this linear combination must be a multiple of the Âgenus which improves a result of Gromov and Lawson Our proof combines an idea of Atiyah and Hirzebruch and the celebrated Calabi–Yau theorem

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Other Papers In This Journal:
  1. On an asymptotically autonomous system with Tikhonov type regularizing term
  2. Inverse positivity for general Robin problems on Lipschitz domains
  3. Gromov hyperbolicity of negatively curved Finsler manifolds
  4. Courbes planes à nœuds et à cusps
  5. On one-sided strong Arens irregularity
  6. Null controllability with constraints on the state for the linear Korteweg-de Vries equation
  7. Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions
  8. A problem of Carlitz and its generalizations
  9. Distribution of the coefficients of modular forms and the partition function
  10. The abstract Dirichlet problem for continuous vector-valued functions
  11. Stability of volume comparison for complex convex bodies
  12. Lower bounds on the number of maximal subgroups in a finite group
  13. Some properties of Gurarii's modulus of convexity
  14. On the generalization of Faltings’ Annihilator Theorem
  15. On the identities defining a quadratic Jordan division algebra
  16. Abelian Carter subgroups in finite permutation groups
  17. On trace ideal weighted composition operators on weighted Fock spaces
  18. On curves with all Weierstrass points of maximal weight
  19. Bounds for the probability of generating the symmetric and alternating groups
  20. Complemented ideals in $$A({\mathbb{R}}^{d})$$ of algebraic curves
  21. Power-free values of polynomials
  22. Gradient blowup rate for a viscous Hamilton–Jacobi equation with degenerate diffusion
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