Slide 1

The Tachibana numbers of a compact Riemannian manifold Sergey E. Stepanov Dept. of Math., Finance University under the Government of Russian Federation, Moscow (Russia) Josef Mike Dept. of Algebra and Geometry, Palanky University, Olomouc (Czech Republic) Slide 2 1. A specification of a Bourguignons result Slide 3 Slide 4 Slide 5 2. Harmonic and conformal Killing r-forms Slide 6 Slide 7 A 3D-diagram of the classification of differential r-forms Slide 8 3. A rough Laplacian on differential forms Slide 9 Slide 10 4. The Tachibana numbers and their properties Slide 11 Slide 12 Slide 13 5. Curvature and Tachibana numbers Slide 14 Slide 15 Slide 16 Slide 17 7. Some relationships between the Tachibana numbers and Betti numbers Slide 18 6. Some relationships between the Tachibana numbers and Betti numbers Slide 19 Slide 20 Slide 21 7. The existence of the Betti numbers Slide 22 8. The existence of the Betti numbers Slide 23 Thank you for your attention!