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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 1,019 - 1,035 (17page)
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In this paper, we introduce the deformed-Sasaki metric on the tangent bundle $TM$ over an $m$-dimensional Riemannian manifold $(M, g)$, as a new natural metric on $TM$. We establish a necessary and sufficient conditions under which a vector field is harmonic with respect to the deformed-Sasaki Metric. We also construct some examples of harmonic vector fields.
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참고문헌 (12)
참고문헌 신청
M. T. K. Abbassi / 2005 / On natural metrics on tangent bundles of Riemannian manifolds / Arch. Math. (Brno) 41(1):71~92
J. Cheeger / 1972 / On the structure of complete manifolds of nonnegative curvature / Ann. of Math. (2) 96:413~443
M. Djaa / 1985 / The geometry of tangent bundles of order r / Boletin Academia, Galega de Ciencias 4:147~165
P. Dombrowski / 1962 / On the geometry of the tangent bundle / J. Reine Angew. Math 210:73~88
J. Eells / 1988 / Another report on harmonic maps / Bull. London Math. Soc 20(5):385~524
J. Cheeger / 1972 / On the structure of complete manifolds of nonnegative curvature / Ann. of Math. (2) 96:413~443
M. Djaa / 1985 / The geometry of tangent bundles of order r / Boletin Academia, Galega de Ciencias 4:147~165
P. Dombrowski / 1962 / On the geometry of the tangent bundle / J. Reine Angew. Math 210:73~88
J. Eells / 1988 / Another report on harmonic maps / Bull. London Math. Soc 20(5):385~524
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