Otwarty dostęp

On formal Riemannian metrics

| 17 maj 2013
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică's Cover Image
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Proceedings of the 10th International Workshop on Differential Geometry and its Applications

Zacytuj

[1] F. A. Belgun, On the metric structure of non-Kähler complex surfaces, Math. Ann. 317 (2000), 1-40.10.1007/s002080050357Search in Google Scholar

[2] V. Bangert, M. Katz, An optimal Loewner-type systolic inequality and harmonic one-forms of constant norm, Comm. Anal. Gcom. 12 (2004) no.3, 703-732.Search in Google Scholar

[3] P. Deligne, Ph. Griffith, J. Morgan, D. Sullivan, Beal homotopy theory of Kahler manifolds, Inventiones Mathematicae 29 (1975) no.3, 245-274.Search in Google Scholar

[4] S. Dragomir and L. Ornea, Locally conformai Kähler geometry, Progress in Math. 155, Birkhäuser, Boston, Basel, 1998.10.1007/978-1-4612-2026-8Search in Google Scholar

[5] J.-F. Grosjean, P.-A. Nagy, On the cohomology algebra of some classes of geometrically formal manifolds, Proc. Lond. Math. Soc. 98 (2009), 607-630.10.1112/plms/pdn047Search in Google Scholar

[6] D. Kotschick, On products of harmonic forms, Duke Math. J. 107, (2001), 521-531.10.1215/S0012-7094-01-10734-5Search in Google Scholar

[7] D. Kotschick, S. Terzic, On formality of generalized symmetric spaces, Math. Proc. Cambridge Philos. Soc. 134 (2003), 491-505.10.1017/S0305004102006540Search in Google Scholar

[8] D. Kotschick, S. Terzic, Geometric formality of homogeneous spaces and of biquotients, Pacific J. Math. 249 (2011), 157-176.10.2140/pjm.2011.249.157Search in Google Scholar

[9] P.-A. Nagy, On length and product of harmonic forms in Kähler geometry, Math. Z. 254, 199-218.10.1007/s00209-006-0942-xSearch in Google Scholar

[10] P.-A. Nagy, C. Vernicos, The length of harmonic forms on a compact Riemannian manifold, Trans. Amer. Math. Soc. 356 (2004), 2501-2513.10.1090/S0002-9947-04-03546-9Search in Google Scholar

[11] L. Ornea, M. Pilca, Remarks on the product of harmonic forms, Pacific J. Math. 250 (2011), 353 { 363.10.2140/pjm.2011.250.353Search in Google Scholar

[12] L. Ornea, M. Verbitsky, Structure theorem for compact Vaisman manifolds, Math. Res. Lett. 10 (2003), 799{805.10.4310/MRL.2003.v10.n6.a7Search in Google Scholar

[13] D. Sullivan, Innitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977), 269{331.10.1007/BF02684341Search in Google Scholar

[14] Ph. Tondeur, Foliations on Riemannian Manifolds, Springer-Verlag, New York, 1988.10.1007/978-1-4613-8780-0Search in Google Scholar

[15] I. Vaisman, Generalized Hopf manifolds, Geom. Dedicata 13 (1982), 231-255. 10.1007/BF00148231Search in Google Scholar

eISSN:
1844-0835
Język:
Angielski
Częstotliwość wydawania:
Volume Open
Dziedziny czasopisma:
Mathematics, General Mathematics