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Volume 13, Issue 1 (2025) Under Process, Pages [1] - [29]
ON SOME PROPERTIES OF HOMOGENEOUS REAL REDUCTIVE HEISENBERG-TYPE GROUPS
[1] W. Ambrose and I. M. Singer, On homogeneous Riemannian manifolds, Duke Mathematical Journal 25(4) (1958), 647-669.
DOI: https://doi.org/10.1215/S0012-7094-58-02560-2
[2] R. B. Brown and A. Gray, Vector cross products, Commentarii Mathematical Helvetici 42 (1967), 222-236.
DOI: https://doi.org/10.1007/BF02564418
[3] G. Carron, T. Coulhon and E. M. Ouhabaz, Gaussian estimates and -boundedness of Riesz means, Journal of Evolution Equations 2 (2002), 299-317.
DOI: https://doi.org/10.1007/s00028-002-8090-1
[4] T. Coulhon and A. Sikora, Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem, The Proceedings of the London Mathematical Society 96(2) (2008), 507-544.
DOI: https://doi.org/10.1112/plms/pdm050
[5] J. E. D’Atri, Geodesic sphere and symmetries in naturally reductive homogeneous spaces, Michigan Mathematical Journal 22(1) (1975), 71-76.
DOI: https://doi.org/10.1307/mmj/1029001423
[6] J. E. D’Atri and H. K. Nickerson, Geodesic symmetries in spaces with special curvature tensor, Journal of Differential Geometry 9(2) (1974), 251-262.
DOI: https://doi.org/10.4310/jdg/1214432291
[7] J. E. D’Atri and W. Ziller, Naturally reductive metrics and Eistein metrics on compact Lie Groups, Memoirs of the American Mathematical Society 18(215) (1979), 215-227.
DOI: https://doi.org/10.1090/memo/0215
[8] A. Gray, Riemannian manifolds with geodesic symmetries of order 3, Journal of Differential Geometry 7(3-4) (1972), 343-369.
DOI: https://doi.org/10.4310/jdg/1214431159
[9] A. Kaplan, Riemannian manifolds attached to Clifford modules, Geometriae Dedicata 11 (1981), 127-136.
DOI: https://doi.org/10.1007/BF00147615
[10] A. Kaplan, On the geometry of groups of Heisenberg type, Bulletin of the London Mathematical Society 15(1) (1983), 35-42.
DOI: https://doi.org/10.1112/blms/15.1.35
[11] E. M. Ouhabaz, Analysis of Heat Equations on Domains,
[12] P. Petrushev and Y. Xu, Localized polynomial frames on the ball, Constr. Approx. 27 (2008), 121-148.
DOI: https://doi.org/10.1007/s00365-007-0678-9
[13] F. Tricerri and L. Vanhecke, Homogeneous structures on Riemannian manifolds, Lecture Note Series of the London Mathematical Society 83 (1983), Cambridge University Press.
DOI: https://doi.org/10.1017/CBO9781107325531
[14] F. Tricerri and L. Vanhecke, Naturally reductive homogeneous spaces and generalized Heisenberg groups, Compositio Mathematica 52(3) (1984), 389-408.
[15] N. T. Varopoulos, L. Saloff-Coste and T. Coulhon, Analysis and Geometry on Groups, Cambridge Tracts in Mathematics 100, Cambridge University Press, Cambridge, 1992.
DOI: https://doi.org/10.1017/CBO9780511662485
[16] J. A. Wolf, The geometry and structure of isotopy irreducible homogeneous spaces, Acta Mathematics 120 (1968), 59-148.