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F-调和映照的不存在性定理 被引量:3

Nonexistence Theorems for F-Harmonic Maps
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摘要 本文主要讨论一类F-调和映照的不存在性问题,从而得到相应的Liouville型定理. We discuss the nonexistence problems for a large class of F -harmonic maps, and obtain the corresponding Liouville theorems.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第2期311-316,共6页 数学研究与评论(英文版)
基金 国家自然科学基金(10571129) 数学天元基金(A0324662) 西北师范大学青年教师科研基金
关键词 F-调和映照 F-能量慢发散 F-应力-能量张量 F-harmonic maps slowly divergent F-energy F-stress-energy tensor.
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参考文献10

  • 1ARA M. Geometry of F-harmonic maps [J]. Kodai Math. J., 1999, 22: 243-263.
  • 2SACKS J, UHLENBECK K. The existence of minimal immersions of 2-spheres [J]. Ann. Math., 1981, 113:1-24.
  • 3ARA M. Stability of F-Harmonic maps into pinched manifolds [J]. Hiroshima Math. J.,2000,31: 171-181.
  • 4ARA M. Instability and nonexistence theorems for F-Harmonic maps [J]. Illinois J. Math., 2001, 45(2):657-680.
  • 5李锦堂.正拼挤流形的F-调和映射[J].数学学报(中文版),2003,46(4):811-814. 被引量:2
  • 6SEALEY H C J. Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory [J]. Math. Proc. Cambridge Philos. Soc., 1982, 91:441-452.
  • 7HU He-sheng. A nonexistence theorem for harmonic maps with slowly divergent energy[J].Chinese Ann.Math. Set. B, 1984, 5(4): 737-740.
  • 8XIN Yuan-long. Liouville Type Theorems and Regularity of Harmonic Maps [M]. Lecture Notes in Math.,1255, Springer, Berlin, 1987.
  • 9张希.关于p-调和映照的Liouville型定理[J].数学年刊(A辑),2000,1(1):95-98. 被引量:3
  • 10DING Qing. The Dirichlet problem at infinity for manifolds of nonpositive curvature [C]. Differential geometry(Shanghai, 1991), 49-58, World Sci. Publishing, River Edge, NJ, 1993.

二级参考文献8

  • 1Ara M., Geometry of F-harmonic maps, Kodai. Math. J., 1999, 22: 243-263.
  • 2Peng J. G., Some relations between minimal submanifolds and harmonic maps, Chin. Ann. Math., 1984, 5A:85-89 (in Chinese).
  • 3Pan Y. L., Some nonexistence theorems on stable harmonic mappings, Chin. Ann. Math. 1982, 3: 515-518.
  • 4忻元龙,调和映照,1995年
  • 5Wei S W,J Geom Acaly,1994年,4卷,247页
  • 6Xin Y L,Springer Verlag Lecture Notes Math,1987年,1255卷,198页
  • 7Green R,Springer Verlag Lecture Notes Math,1979年,699卷,19页
  • 8Schoen R,Comm Math Helvetici,1976年,39卷,333页

共引文献3

同被引文献17

  • 1刘建成.指数调和映照的Liouville型定理[J].兰州大学学报(自然科学版),2005,41(6):122-124. 被引量:2
  • 2Ara M. Geometry of F - Harmonic Maps [ J ]. Kodai Math, 1999,22:243 - 263.
  • 3Ara M. Geometry of F-harmonic maps[J]. Kodai Math. J., 1999, 22: 243-263.
  • 4Sacks J, Uhlenbeck K. The existence of minimal immersions of 2-spheresIJ]. Ann. of Math., 1981, 113: 1-24.
  • 5Fardoun A. On equivariant p-harmonic maps[J]. Ann. Inst. Henri Poincare, 1998, 15(1): 25-72.
  • 6Ratto A. On the Dirichlet problem for harmonic maps into spheres or ellipsoid and equivariant harmonic maps from warped products[J]. Bull. Soc. Math. Belgique, 1989, 41(2): 145-168.
  • 7Karcher H, Wood J C. Non-existence results and growth properties for harmonic maps and forms[J]. J. Reine. Angew. Math., 1984, 353: 165-180.
  • 8Lemaire L. Applications harmoniques de surfaces riemanniennes[J]. J. Diff. Geom., 1978, 13: 51-78.
  • 9Chen Qun. Stability and constant boundary-value problems of harmonic maps with potential[J]. J. Austral. Math. Soc. Series A, 2000, 68: 145-154.
  • 10Zhou ZhenRong, Stability and quantum phenomena and Liouville theorems of p-harmonic maps with potential[J]. Kodai Math. J., 2003, 26: 101-118.

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