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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We establish a monotonicity formula of $V$-harmonic maps by using the stress-energy tensor. Use the monotonicity formula, we can derive a Liouville type theorem for $V$-harmonic maps. As applications, we also obtain monotonicity and constancy of Weyl harmonic maps from conformal manifolds to Riemannian manifolds and $\pm $holomorphic maps between almost Hermitian manifolds. Finally, a constant boundary-value problem of $V$-harmonic maps is considered.
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참고문헌 (23)
참고문헌 신청
P. Baird / 1981 / Geometry Symposium, Utrecht 1980 / Springer
PAUL CENTORE / 2012 / FINSLER LAPLACIANS AND MINIMAL-ENERGY MAPS / International Journal of Mathematics 11(01):1~13
Q. Chen / 2000 / Stability and constant boundary-value problems of harmonic maps with potential / J. Austral. Math. Soc. Ser. A 68(2):145~154
Qun Chen / 2012 / Existence and Liouville theorems for V -harmonic maps from complete manifolds / Annals of Global Analysis and Geometry 42(4):565~584
Qun Chen / 2015 / A Maximum Principle for Generalizations of Harmonic Maps in Hermitian, Affine, Weyl, and Finsler Geometry / The Journal of Geometric Analysis 25(4):2407~2426
PAUL CENTORE / 2012 / FINSLER LAPLACIANS AND MINIMAL-ENERGY MAPS / International Journal of Mathematics 11(01):1~13
Q. Chen / 2000 / Stability and constant boundary-value problems of harmonic maps with potential / J. Austral. Math. Soc. Ser. A 68(2):145~154
Qun Chen / 2012 / Existence and Liouville theorems for V -harmonic maps from complete manifolds / Annals of Global Analysis and Geometry 42(4):565~584
Qun Chen / 2015 / A Maximum Principle for Generalizations of Harmonic Maps in Hermitian, Affine, Weyl, and Finsler Geometry / The Journal of Geometric Analysis 25(4):2407~2426
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