Hamid-Reza Fanai

Email: fanai[at]sharif[dot]ir
Tel: +98 (21) 6616 5641

Publications

 

1. Trois propri'et'es du flot g'eod'esique en courbure n'egative

C. R. Acad. Sci. Paris S'er. I Math.  323 (1996),1039-1045.
2. Rigidit'e du flot g'eod'esique de certaines nilvari'et'es de rang deux
S'eminaire de Th'eorie Spectrale et G'eom'etrie, Institut Fourier, Grenoble 15 (1997), 25-36.

3. Spectre marqu'e des longueurs et m'etriques conform'ement 'equivalentes

Bull. Belg. Math. Soc. 5 (1998), 525-528.

4. Espaces homog`enes d'Einstein non-compacts
Geom. Dedicata 80 (2000), 187-200.

5. Conjugaison g'eod'esique des nilvari'et'es de rang deux

J. Lie Theory 10 (2000), 147-155.

6. Vari'et'es homog`enes d'Einstein de courbure scalaire n'egative:

Construction `a l'aide de certains modules de Clifford

Geom. Dedicata 93 (2002), 77-87.
7. Sur un type particulier de valeur propre des solvari'et'es d'Einstein

Bull. Austral. Math. Soc. 68 (2003), 39-43.

8. On the matrices with constant determinant and permanent over roots of unity

(with S. Akbari and K. Mahmoudian)

Linear Algebra Appl. 375 (2003), 245-249.

9. Sur quelques probl`emes li'es au flot g'eod'esique

Bull. Belg. Math. Soc. 10 (2003), 161-167.

10. On ray-nonsingular matrices
Linear Algebra Appl.  376 (2004), 125-134.
11. Comparaison des volumes des vari'et'es riemanniennes

C. R. Math. Acad. Sci. Paris 339 (2004), 199-201.
12. Une remarque sur la sym'etrie asymptotique de la fonction de Green

Proc. Amer. Math. Soc. 133 (2005), 805-807.

13. Rank, term rank and chromatic number of a graph (with S. Akbari) 

C. R. Math. Acad. Sci. Paris 340 (2005), 181-184.
14. Conjugaison g'eod'esique en rang 1
Bull. Austral. Math. Soc. 71 (2005), 121-126.
15. On some measures associated to the geodesic flow
Rocky Mountain J. Math. 36 (2006), 1229-1233.

16. Some relations among term rank, clique number and list chromatic number of a graph (with S. Akbari)
Discrete Math. 306 (2006),  3078-3082.

17. On the uniqueness of the conformal densities for certain nonpositively curved manifolds
Far East J. Dyn. Syst. 8 (2006),  239-243.

18. Invariant measures under geodesic flow
Houston J. Math. 33 (2007), 163-167

19. Quelques propri'et'es des m'etriques d'Einstein sur les groupes de Lie r'esolubles

Rocky Mountain J. Math. 37 (2007), 1893-1903.

20. Einstein solvmanifolds and graphs
C. R. Math. Acad. Sci. Paris 344 (2007), 37-39.

21. A note on transversals
Ars Combin. 91 (2009), 83-85.

22. On certain two-step nilpotent Lie algebras
J. Algebra Number Theory, Adv. Appl. 2 (2009), 43-50.

23. Two-step nilpotent Lie algebras attached to graphs
Int. Math. Forum 4 (2009),  2143-2148.
24. Graph choosability and double list colorability
Opuscula Math. 30 (2010), 271-276.
25. Existence of partial transversals
Linear Algebra Appl. 432 (2010),  2608-2614.

26. On triangularizability of a group of operators (with M.K. Mahshid)
Results Math. 61 (2012),  57-61.
27. Permanent rank and transversals
Australas. J. Combin. 53 (2012), 285-288.
28. On matrices over roots of unity with vanishing permanent
Ars Combin. 126 (2016), 117-119.
29. On 2-Killing and conformal vector fields on Riemannian manifolds (with H. Hessam)
Int. Math. Forum 12 (2017), 869-878.
30. A symplectic rigidity problem for 2-step nilmanifolds (with A. Hasan-Zadeh)
Houston J. Math.  43 (2017),  363-374.

31. Einstein solvmanifolds and two-step nilpotent Lie algebras with a special nice basis (with Z. Khodaei)
J. Lie Theory 28 (2018),  343-356.
32. An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds (with A. Hasan-Zadeh)
Math. Bohemica 144 (2019), 149-160.

33. Applications of von Neumann algebras to rigidity problems of 2-step Riemannian nilmanifolds (with A. Hasan-Zadeh)  Aust. J. Math. Annal. Appl. 17 ,no. 1 (2020), 1-5.
34. Interplay between the geometry of a Riemannian manifold and the geometry of its isometries (with A. Hasan-Zadeh) Int. J. Science & Eng. Inves. 10 (2021), 14-20.

35. On list colorability of graphs, Int. Math. Forum, accepted.

36. Extension of Bishop-Gromov volume comparison theorem by elliptic operators (with S. Azami and S. Fatemi)

Mediterranean Journal of Mathematics, accepted.