Transversal biwave maps
Yuan-Jen Chiang; Robert A. Wolak
Archivum Mathematicum (2010)
- Volume: 046, Issue: 3, page 211-226
- ISSN: 0044-8753
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top- Caddeo, R., Montaldo, S., Oniciuc, C., 10.1142/S0129167X01001027, Internat. J. Math. 12 (8) (2001), 867–876. (2001) MR1863283DOI10.1142/S0129167X01001027
- Caddeo, R., Montaldo, S., Piu, P., Explicit formulas for non-geodesic biharmonic curves of the Heisenberg group, Rend. Sem. Mat. Univ. Politec. Torino 62 (3) (2004), 265–278. (2004) MR2129448
- Chang, Sun-Yung A., Wang, L., Yang, P. C., 10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O, Comm. Pure Appl. Math. 52 (9) (1999), 1099–1111. (1999) MR1692152DOI10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O
- Chiang, Y. J., 10.1155/2009/104274, Internat. J. Math. Math. Sci. Article ID 104274 (2009), 1–14. (2009) Zbl1169.53336MR2515931DOI10.1155/2009/104274
- Chiang, Y. J., Sun, H., 2-harmonic totally real submanifolds in a complex projective space, Bull. Inst. Math. Acad. Sinica 27 (2) (1999), 99–107. (1999) Zbl0960.53036MR1697219
- Chiang, Y. J., Sun, H., 10.1155/S0161171201006731, Internat. J. Math. Math. Sci. 27 (2001), 477–484. (2001) Zbl1012.58012MR1869649DOI10.1155/S0161171201006731
- Chiang, Y. J., Wolak, R., 10.1142/S0129167X08004972, Internat. J. Math. 19 (9) (2008), 1–16. (2008) Zbl1160.53012MR2446510DOI10.1142/S0129167X08004972
- Chiang, Y. J., Yang, Y. H., 10.1016/j.geomphys.2007.09.003, J. Geom. Phys. 57 (2007), 2521–2532. (2007) Zbl1134.58006MR2369837DOI10.1016/j.geomphys.2007.09.003
- Eells, J., Lemaire, L., 10.1112/blms/10.1.1, Bull. London Math. Soc. 10 (1978), 1–68. (1978) Zbl0401.58003MR0495450DOI10.1112/blms/10.1.1
- Eells, J., Lemaire, L., 10.1112/blms/20.5.385, Bull. London Math. Soc. 20 (1988), 385–524. (1988) Zbl0669.58009MR0956352DOI10.1112/blms/20.5.385
- Eells, J., Sampson, J. H., 10.2307/2373037, Amer. J. Math. 86 (1964), 109–160. (1964) MR0164306DOI10.2307/2373037
- Eells, J., Verjovsky, A., Harmonic and Riemannian foliations, Bol. Soc. Mat. Mexicana (3) 4 (1998), 1–12. (1998) Zbl0905.57019MR1625589
- Evans, L. C., Partial Differential Equations, vol. 19, Grad. Stud. Math., 1998. (1998) Zbl0902.35002
- Hilbert, D., 10.1007/BF01448427, Math. Ann. 92 (1924), 1–32. (1924) MR1512197DOI10.1007/BF01448427
- Jiang, G. Y., 2-harmonic maps between Riemannian manifolds, Annals of Math., China 7A (4) (1986), 389–402. (1986) MR0886529
- Jiang, G. Y., The 2-harmonic isometric immersions between Riemannian manifolds, Annals of Math., China 7A (2) (1986), 130–144. (1986) MR0858581
- Jiang, G. Y., the conservation law of 2-harmonic maps between Riemannian manifolds, Acta Math. Sinica 30 (2) (1987), 220–225. (1987) MR0891928
- Kacimi, A. El, Gomez, E. Gallego, Foliated harmonic maps, Illinois J. Math. 40 (1996), 115–122. (1996) MR1386316
- Klainerman, S., Machedon, M., 10.1215/S0012-7094-95-08109-5, Duke Math. J. 81 (1995), 99–133. (1995) Zbl0909.35094MR1381973DOI10.1215/S0012-7094-95-08109-5
- Klainerman, S., Machedon, M., On the optimal local regularity for gauge fields theories, Differential Integral Equations 10 (6) (1997), 1019–1030. (1997) MR1608017
- Konderak, J. J., Wolak, R., 10.1093/qmath/hag019, Quart. J. Math. Oxford Ser. (2) 54 (Part 3) (2003), 335–354. (2003) Zbl1059.53051MR2013142DOI10.1093/qmath/hag019
- Konderak, J. J., Wolak, R., Some remarks on transversally harmonic maps, Glasgow J. Math. 50 (1) (2008), 1–16. (2008) Zbl1138.53025MR2381726
- Lopez, J. A., Masa, X. M., 10.1016/j.topol.2007.12.001, Topology Appl. 155 (2008), 544–604. (2008) Zbl1147.57025MR2388956DOI10.1016/j.topol.2007.12.001
- Loubeau, E., Oniciuc, C., 10.1090/S0002-9947-07-03934-7, Trans. Amer. Math. Soc. 359 (11) (2007), 5239–5256. (2007) Zbl1124.58009MR2327029DOI10.1090/S0002-9947-07-03934-7
- Molino, P., Riemannian Foliations, Birkhauser, Bassel, 1988. (1988) Zbl0824.53028MR0932463
- Montaldo, S., Oniciuc, C., A short survey on biharmonic maps between Riemannian manifolds, Rev. Un. Mat. Argentina 47 (2006), 1–22. (2006) Zbl1140.58004MR2301373
- Nahmod, A., Stefanov, A., Uhlenbeck, K., On the well-posedness of the wave map problem in high dimensions, Comm. Anal. Geom. 11 (1) (2003), 49–83. (2003) Zbl1085.58022MR2016196
- O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, 1983. (1983) MR0719023
- Shatah, J., Struwe, M., Geometric wave equations, Courant Lecture Notes in Math., 2 (2000), viii+153 pp. (2000) Zbl1051.35500MR1674843
- Shatah, J., Struwe, M., 10.1155/S1073792802109044, Int. Math. Res. Not. 11 (2002), 555–571. (2002) Zbl1024.58014MR1890048DOI10.1155/S1073792802109044
- Tao, T., Global regularity of wave maps. I. Small critical Sobolev norm in high dimension, Internat. Math. Res. Notices 6 (2001), 299–328. (2001) Zbl0983.35080MR1820329
- Tao, T., 10.1007/PL00005588, Comm. Math. Phys. 224 (2001), 443–544. (2001) MR1869874DOI10.1007/PL00005588
- Tataru, D., 10.1090/S0273-0979-04-01005-5, Bull. Amer. Math. Soc. 41 (2004), 185–204. (2004) MR2043751DOI10.1090/S0273-0979-04-01005-5
- Tataru, D., 10.1353/ajm.2005.0014, Amer. J. Math. 127 (5) (2005), 293–377. (2005) MR2130618DOI10.1353/ajm.2005.0014
- Tondeur, P., Geometry of Foliation, Birkhauser, Bassel, 1997. (1997) MR1456994
- Wang, C., 10.1007/s00209-003-0620-1, Math. Z. 247 (2004), 65–87. (2004) MR2054520DOI10.1007/s00209-003-0620-1
- Wolak, R., 10.5802/afst.681, Ann. Fac. Sci. Toulouse Math. (6) 10 (1989), 337–360. (1989) Zbl0698.57007MR1425491DOI10.5802/afst.681