References
- [1] J. A. Alvarez Lopez, The basic component of the mean curvature of Riemannian foliations, Ann. Global Anal. Geom. 10 (1992), 179-194.
- [2] J. A. Alvarez Lopez, Y.A. Kordyukov, Adiabatic limits and spectral sequences for Riemannian foliations, Geom. and Funct. Anal. 10 (2000), 977-1027.
- [3] J. Brüning, F.W. Kamber, Vanishing theorems and index formulas for transversal Dirac operators, AMS Meeting 845, Special Session on Op- erator Theory and Applications to Geometry, American Mathematical Society Abstracts, Lawrence, KA, 1988.
- [4] M. Craioveanu, M. Puta, Asymptotic properties of eigenvalues of the basic Laplacian associated to certain Riemannian foliations, Bull. Math. Soc. Sei. Math. Roumanie, (NS) 35 (1991), C1-C5.
- [5] D. Dominguez, A tenseness theorem for Riemannian foliations, C. R. Acad. Sci. Sér. I 320 (1995), 1331-1335.
- [6] J. F. Glazebrook, F. W. Kamber, Transversal Dirac families in Riemannian foliations. Commun. Math. Phys. 140(1991), 217-240.
- [7] M. Gromov, H. B. Lawson, Spin and scalar curvature in the presence of a fundamental group I, Ann. of Math. 111(1980), 209-230.
- [8] G. Habib, Tenseur dimpulsion-énergie et feuilletages, Ph.D thesis (2000), Université Henri Poincaré, Nancy.
- [9] G. Habib, K. Richardson, A brief note on the spectrum of the basic Dirac operator, Bull. London Math. Soc. 41 (2009), 083-090.
- [10] O. Hijazi, A conformai lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors, Commun. Math. Phys. 104 (1980), 151-102.
- [11] S. D. Jung, The first eigenvalue of the transversal Dirac operator. J. Geom. Phys. 39 (2001), 253-204.
- [12] F. Kamber, Ph. Tondeur, De Rham-Hodge theory for Riemannian folia- tions, Math. Ann. 277 (1987), 425-431.
- [13] A. El Kacimi Alaoui, M. Nicolau, On the topological invariance of the basic cohomology, Math. Ann. 295 (1993), 027-034.
- [14] Y. A. Kordyukov, Vanishing theorem for transverse Dirac operators on Riemannian foliations, Ann. Glob. Anal. Geom. 34 (2008), 195-211.
- [15] H. B. Lawson, M. L. Michelsohn, Spin geometry, Princeton University Press, 1989.
- [16] A. Mason, An application of stochastic flows to Riemannian foliations, Houston J. Math. 20 (2000), 481-515.
- [17] E. Park, K. Richardson, The basic Laplacian of a Riemannian foliation, Amer. J. Math. 118 (1990), 1249-1275.
- [18] B. Reinhart, Foliated manifolds with bundle-like metrics. Ann. Math. 09 (1959), 119-132.
- [19] V. Slesar, Weitzenböck formulas for Riemannian foliations, Diff. Geom. App. 27 (2009), 362-367.
- [20] V. Slesar, On the Dirac spectrum of Riemannian foliations admitting a basic parallel 1- form, J. Geom. Phys. 62 (2012), 804-813.
- [21] Ph. Tondeur, Geometry of Foliations, Birkhäuser, Basel, Boston, 1997.