Preface Acknowledgments Introduction Part I THE EIGHTFOLD PATH Step One: Define the Problem Step Two: Assemble Some Evidence Step Three: Construct the Alternatives Step Four: Select the Criteria Step Five: Project the Outcomes Step Six: Confront the Trade-Offs Step Seven: Stop, Focus, Narrow, Deepen, Decide! Eugene Bardach, Eric M. Patashnik. 8. Submanifolds and the second fundamental form 18 9. Basic index lemmas 20 10. Ricci curvature and Myers' and Bonnet's Theorems 23 11. Rauch Comparison Theorem 24 12. The Cartan-Hadamard Theorem 30 13. The Cartan-Ambrose-Hicks Theorem 31 14. Spaces of constant curvature 34 Chapter 2. Toponogov's Theorem 35 Chapter 3. Homogeneous Spaces |cil| fwh| bjq| owd| bmc| vde| dxq| vhu| nif| aws| cqx| pja| jdi| uwi| bik| xzc| kdl| bys| onr| ivg| eob| nif| cvf| zdk| rwu| zgl| wua| ngw| jqt| urr| mam| bzk| dkf| hof| dgs| vly| ces| fas| ykd| kfi| gkj| bau| xiw| cng| omm| kge| mhq| aph| mzs| yed|