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KCI등재 학술저널

Riemannian and Lorentzian volume comparisons with the Bakry-Emery Ricci tensor

  • 2

The Bishop and Bishop-Gromov volume comparisons with the Bakry-Emery Ricci tensor in a metric measure space are studied by the comparisons of the Jacobi differential equations in a Riemannian and Lorentzian manifold.

1. Introduction

2. Preliminaries

3. Riemannian volume comparisons with the Bakry-Emery Ricci tensor

4. Lorentzian volume comparisons with the Bakry-Emery Ricci tensor

References

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