@article{ASNSP_2001_4_30_1_63_0, author = {Barletta, Elisabetta and Dragomir, Sorin}, title = {Differential equations on contact riemannian manifolds}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {63--95}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 30}, number = {1}, year = {2001}, mrnumber = {1882025}, zbl = {1008.53022}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2001_4_30_1_63_0/} }
TY - JOUR AU - Barletta, Elisabetta AU - Dragomir, Sorin TI - Differential equations on contact riemannian manifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2001 SP - 63 EP - 95 VL - 30 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_2001_4_30_1_63_0/ LA - en ID - ASNSP_2001_4_30_1_63_0 ER -
%0 Journal Article %A Barletta, Elisabetta %A Dragomir, Sorin %T Differential equations on contact riemannian manifolds %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2001 %P 63-95 %V 30 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_2001_4_30_1_63_0/ %G en %F ASNSP_2001_4_30_1_63_0
Barletta, Elisabetta; Dragomir, Sorin. Differential equations on contact riemannian manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 30 (2001) no. 1, pp. 63-95. http://archive.numdam.org/item/ASNSP_2001_4_30_1_63_0/
[1] On the CR structure of the tangent sphere bundle, Le Matematiche L (1995), 237-249. | MR | Zbl
- ,[2] Pseudohermitian immersions, pseudo-Einstein structures, and the Lee class of a CR manifold, Kodai Math. J, 19 (1996), 62-86. | MR | Zbl
- ,[3] New CR invariants and their application to the CR equivalence problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), 193-203. | Numdam | MR | Zbl
- ,[4] On the spectrum of a strictly pseudoconvex CR manifold, Abh. Math. Sem. Univ. Hamburg 67 (1997), 33-46. | MR | Zbl
- ,[5] Pseudoharmonic mapsfrom nondegenerate CR manifolds to Riemannian manifolds, to appear in Indiana Univ. Math. J., 2001. | MR | Zbl
- - ,[6] Contact Manifolds in Riemannian geometry, Lecture Notes in Math., vol. 509, Springer-Verlag, 1976. | MR | Zbl
,[7] On a conjecture of J.M. Lee, Hokkaido Math. J. 23 (1994), 35-49. | MR | Zbl
,[8] On pseudohermitian immersions between strictly pseudoconvex CR manifolds, American J. Math. 117 (1995), 169-202. | MR | Zbl
,[9] Pseudohermitian geometry and interpolation manifolds, Complex Variables 27 (1995), 105-115. | MR | Zbl
,[10] Locally Conformal Kähler Geometry", Progress in Mathem., vol. 155, Birkhäuser, 1998. | MR | Zbl
- , "[11] the Bergman kernel, and geometry of pseudoconvex domains, Ann. Math. 103 (1976), 396-416; correction, 104 (1976), 393-394; , An intrinsic construction of Fefferman's CR metric, Pacific J. Math. 123 (1986), 33-45. | MR | Zbl
, ,[12] A model of affine gravity in two dimensions and plurality of topology, Istituto di Fisica Matematica "J.L. Lagrange", Università di Torino, preprint, 1998; The universality of Einstein equations, ibidem, preprint, 1998. | MR
- - ,[13] Cauchy-Riemann equations in several variables, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22 (1968), 275-314. | EuDML | Numdam | MR | Zbl
,[14] The first eigenvalue of a sublaplacian on a pseudohermitian manifold, Comm. Partial Differential Equations (2) 10 (1985), 191-217. | MR | Zbl
,[15] Sulle varietà di Cauchy-Riemann, Rend. Accad. Sci. Fis. Mat. Napoli (4) 39 (1972), 191-195. | MR | Zbl
,[16] The Yamabe problem on CR manifolds, J. Differential Geom. 25 (1987), 167-197. | MR | Zbl
- ,[17] CR normal coordinates and the Yamabe problem, J. Differential Geom. 29 (1989), 303-344. | MR | Zbl
- ,[18] Subelliptic, second order differential operators, In: "Complex Analysis III", Proceedings, University of Maryland 1985-86, Lecture Notes in Math., vol. 1277, Springer-Verlag, 1987, pp. 46-77. | MR | Zbl
- ,[19] Non-coercive boundary value problems, Comm. Pure Appl. Math. 18 (1965), 443-492. | MR | Zbl
- ,[20] Boundaries of complex manifolds, Proc. Conf. on Complex Analysis Minneapolis, 1964, Springer-Verlag, New York, 1965, pp. 81-94. | MR | Zbl
,[21] The Fefferman metric and pseudohermitian invariants, Trans. Amer. Math. Soc. (1) 296 (1986), 411-429. | MR | Zbl
,[22] Pseudo-Einstein structures on CR manifolds, American J. Math. 110 (1988), 157-178. | MR | Zbl
,[23] On the eigenvalues of a class of hypoelliptic operators, Math. Ann. 235 (1978), 55-58. | EuDML | MR | Zbl
- ,[24] Certain almost contact hypersurfaces in Euclidean spaces, Kodai Math. Sem. Reports, 16 (1964), 44-54; Certain almost contact hypersurfaces in Kaehlerian manifolds of constant holomorphic sectional curvatures, Tôhoku Math. J. 16 (1964), 270-284; Contact hypersurfaces in certain Kaehlerian manifolds, ibidem, 18 (1966), 74-102; , Totally geodesic hypersurfaces of Kähler manifolds, Pacific J. Math., 27 (1968), 275-281. | MR | Zbl
,[25] Hypoelliptic operators with multiple characteristics, Math. USSR Sb. 8 (1969), 181-205. | MR | Zbl
,[26] A variational characterization of contact metric manifolds with vanishing torsion, Canad. Math. Bull. (4) 35 (1992), 455-462; Second variation of the "total scalar curvature " on contact manifolds, ibidem, (1) 38 (1995), 16-22; - - , Contact three-manifolds with positive generalized Tanaka-Webster scalar curvature, C.R. Math. Rep. Acad. Sci. Canada, (6) 10 (1988), 255-260; - , Contact 3-manifolds with positive scalar curvature, Contemporary Math. 127 (1992), 59-68; , 5-Dimensional contact manifolds with second Betti number b2 = 0, Tôhoku Math. J. (1) 41 (1989), 163-170; A remark on homogeneous contact five-manifolds, Boll. Un. Mat. Ital. (B) (7) 3-A (1989), 231-235; Torsion and critical metrics on contact three-manifolds, Kodai Math. J. (1) 13 (1990), 88-100; Torsion tensor and critical metrics on contact (2n + 1)-manifolds, Monats. Math. 114 (1992), 245-259; Contact Riemannian manifolds satisfying R (X, ξ) · R = 0, Yokohama Math. J. 39 (1992), 141-149; Tangent sphere bundles satisfying Δξτ = 0, Journal of Geometry 49 (1994), 178-188; Ricci tensor and spectral rigidity of contact Riemannian 3-manifolds, Bull. Inst. Math. Acad. Sinica, (2) 24 (1996), 127-138; - , Five-dimensional homogeneous contact manifolds and related problems, Tôhoku Math. J. (2) 43 (1991), 243-248.
- ,[27] A Differential Geometric Study on Strongly Pseudo-Convex Manifolds ", Kinokuniya Book Store Co., Kyoto, 1975. | MR | Zbl
, "[28] Variational problems on contact Riemannian manifolds, Trans. Amer. Math. Soc. (1) 314 (1989), 349-379. | MR | Zbl
,[29] Yang-Mills connections over compact strongly pseudoconvex CR manifolds, Math. Z. 216 (1994), 541-573. | EuDML | MR | Zbl
,[30] Variational problems over strongly pseudoconvex CR manifolds, In: "Differential Geometry", Proceedings of the Symposium in honour of professor Su Buchin on his 90th birthday, Shanghai China, September 17-23, 1991, C. H. Gu - H. S. Hu - Y. L. Xin (eds.), (Fundan University), World Scientific Publ. Co. Pte. Ltd., Singapore-New Jersey- London-Hong Kong, 1993, pp. 233-242. | MR | Zbl
,[31] New examples of twisted cohomologies, Boll. Un. Mat. Ital. (B) 7 (1993), 355-368. | MR | Zbl
,[32] Pseudohermitian structures on a real hypersurface, J. Differential Geom. 13 (1978), 25-41. | MR | Zbl
,[33] On the transformation group of a real hypersurface, Trans. Amer. Math. Soc. (1) 231 (1977), 179-190. | MR | Zbl
,[34] The rigidity of CR hypersurfaces in a sphere, Indiana Univ. Math. J. (3) 28 (1979), 405-416. | MR | Zbl
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