A monotonicity formula and a Liouville type theorem of $V$-harmonic maps

키워드

참고문헌 (23)

1. P. Baird, "Geometry Symposium, Utrecht 1980" (1981), Springer
2. PAUL CENTORE, "FINSLER LAPLACIANS AND MINIMAL-ENERGY MAPS", International Journal of Mathematics, 11(01), pp.1~13 (2012), World Scientific Pub Co Pte Lt[DOI]
3. Q. Chen, "Stability and constant boundary-value problems of harmonic maps with potential", J. Austral. Math. Soc. Ser. A, 68(2), pp.145~154 (2000)
4. Qun Chen, "Existence and Liouville theorems for V -harmonic maps from complete manifolds", Annals of Global Analysis and Geometry, 42(4), pp.565~584 (2012), Springer Science and Business Media LLC[DOI]
5. Qun Chen, "A Maximum Principle for Generalizations of Harmonic Maps in Hermitian, Affine, Weyl, and Finsler Geometry", The Journal of Geometric Analysis, 25(4), pp.2407~2426 (2015), Springer Science and Business Media LLC[DOI]
6. Qun Chen, "Rigidity of self-shrinkers and translating solitons of mean curvature flows", Advances in Mathematics, 294, pp.517~531 (2016), Elsevier BV[DOI]
7. Yuxin Dong, "On Vanishing Theorems for Vector Bundle Valued p-Forms and their Applications", Communications in Mathematical Physics, 304(2), pp.329~368 (2011), Springer Science and Business Media LLC[DOI]
8. S. Dragomir, "Locally Conformal Kahler Geometry" (1998), Birkhauser Boston, Inc.
9. Ali Fardoun, "Harmonic maps with potential", Calculus of Variations and Partial Differential Equations, 5(2), pp.183~197 (1997), Springer Science and Business Media LLC[DOI]
10. Shuxiang Feng, "Liouville Type Theorems of f-Harmonic Maps with Potential", Results in Mathematics, 66(1-2), pp.43~64 (2014), Springer Science and Business Media LLC[DOI]
11. A. Gray, "Minimal varieties and almost Hermitian submanifolds", Michigan Math. J, 12, pp.273~287 (1965)[DOI]
12. R. E. Greene, "Function theory on manifolds which possess a pole" (1979), Springer
13. Y. Han, "New comparison theorems in Riemannian geometry", Bull. Inst. Math. Acad. Sin, 9(2), pp.163~186 (2014)
14. Jürgen Jost, "Affine harmonic maps", Analysis, 29(2), pp.185~197 (2009), Walter de Gruyter GmbH[DOI]
15. Jürgen Jost, "A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry", Acta Mathematica, 170(2), pp.221~254 (1993), International Press of Boston[DOI]
16. H. Karcher, "Nonexistence results and growth properties for harmonic maps and forms", J. Reine Angew. Math, 353, pp.165~180 (1984)
17. G. Kokarev, "On pseudo-harmonic maps in conformal geometry", Proc. Lond. Math. Soc.(3), 99(1), pp.168~194 (2009)[DOI]
18. Hezi Lin, "Monotonicity formulae and Liouville theorems of harmonic maps with potential", Journal of Geometry and Physics, 62(9), pp.1939~1948 (2012), Elsevier BV[DOI]
19. Jian-Cheng Liu, "Constant boundary-value problems for p -harmonic maps with potential", Journal of Geometry and Physics, 57(11), pp.2411~2418 (2007), Elsevier BV[DOI]
20. H. Qiu, "The heat ow of V -harmonic maps from complete manifolds into regular balls", Proc. Amer. Math. Soc, 145(5), pp.2271~2280 (2017)[DOI]
21. H. C. J. Sealey, "Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory", Mathematical Proceedings of the Cambridge Philosophical Society, 91(3), pp.441~452 (1982), Cambridge University Press (CUP)[DOI]
22. Y. Xin, "Geometry of Harmonic Maps" (1996), Birkhauser Boston, Inc.
23. GuiLin Yang, "Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps", Science China Mathematics, 56(5), pp.1019~1032 (2013), Springer Science and Business Media LLC[DOI]

관련 논문AI추천