논문KCI 등재
TRANSVERSE KILLING FORMS ON A KAHLER FOLIATION
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
On a closed, connected Riemannian manifold with a K$\ddot{a}$ahler foliation $\mathcal{F}$ of codimension $q$, any transverse Killing $r$-form ($2{\leq}r{\leq}q$) is parallel.
Abstract
On a closed, connected Riemannian manifold with a K$\ddot{a}$ahler foliation $\mathcal{F}$ of codimension $q$, any transverse Killing $r$-form ($2{\leq}r{\leq}q$) is parallel.
참고문헌 (20)
- J. A. Alvarez Lopez, "The basic component of the mean curvature of Riemannian foliations", Ann. Global Anal. Geom, 10(2), pp.179~194 (1992)
- S. D. Jung, "Eigenvalue estimates for the basic Dirac operator on a Riemannian foliation admitting a basic harmonic 1-form", J. Geom. Phys, 57(4), pp.1239~1246 (2007)
- 정민주, "Riemannian foliations admitting transversal conformal fields", Geometriae Dedicata, 133(1), pp.155~168, Kluwer Academic Publishers
- S. D. Jung, "Generalized Obata theorem and its applications on foliations", J. Math. Anal. Appl, 37(61), pp.129~135 (2011)
- S. D. Jung, "Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations", Math. Z, 270, pp.337~350 (2012)
- F. W. Kamber, "Harmonic foliations, Proc. National Science Foundation Conference on Harmonic Maps, 87-121, Tulance, Dec. 1980", Lecture Notes in Math, 949 (1982), Springer-Verlag
- F. W. Kamber, "Infinitesimal automorphisms and second variation of the energy for harmonic foliations", T^ohoku Math. J, 34(2), pp.525~538 (1982)
- F. W. Kamber, "De Rham-Hodge theory for Riemannian foliations", Math. Ann, 277(3), pp.415~431 (1987)
- T. Kashiwada, "On the integrability of Killing-Yano's equation", J. Math. Soc. Japan, 21, pp.259~265 (1969)
- M. Min-Oo, "Vanishing theorems for the basic cohomology of Riemannian foliations", J. Reine Angew. Math, 415, pp.167~174 (1991)
- A. Moroianu, "Twistor forms on Kahler manifolds", Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2(4), pp.823~845 (2003)
- S. Nishikawa, "Transversal infinitesimal automorphisms for harmonic Kahler foliations", T^ohoku Math. J, 40(4), pp.599~611 (1988)
- J. S. Pak, "Transverse fields on foliated Riemannian manifolds", J. Korean Math. Soc, 25(1), pp.83~92 (1988)
- E. Park, "The basic Laplacian of a Riemannian foliation", Amer. J. Math, 118(6), pp.1249~1275 (1996)
- U. Semmelmann, "Conformal Killing forms on Riemannian manifolds", Math. Z, 245(3), pp.503~527 (2003)
- S. Tachibana, "On conformal Killing tensor in a Riemannian space", T^ohoku Math. J, 21, pp.56~64 (1969)
- S. Tachibana, "On Killing tensors in Riemannian manifolds of positive curvature operator", T^ohoku Math. J, 28, pp.177~184 (1976)
- Ph. Tondeur, "Foliations on Riemannian Manifolds" (1988), Springer-Verlag
- Ph. Tondeur, "Geometry of Foliations" (1997), Birkhauser-Verlag
- K. Yano, "Some remarks on tensor fields and curvature", Ann. of Math, 55, pp.328~347 (1952)
관련 논문AI추천
The properties of Riemannian foliations admitting transversal conformal fields이금란, 정승달대한수학회 · 대한수학회보2018 · 제55권 제4호On transversally harmonic maps of foliated Riemannian manifolds정민주, 정승달대한수학회 · 대한수학회지2012 · 제49권 제5호TRANSVERSAL HOLOMORPHIC MAPS FOR KÄHLER FOLIATIONSH. K. Pak장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호On the mean curvature cohomology class on foliated manifolds박홍경, Tae Wan Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제1호Eigenvalues of Type r of the Basic Dirac Operator on Kähler Foliations정승달경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제3호Locally symmetric almost coK\"{a}hler 5-manifolds with K\"{a}hlerian leavesYaning Wang대한수학회 · 대한수학회보2018 · 제55권 제3호
이 간행물의 다른 논문 (16건)
ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATORTaiyong Chen, Wenbin Liupp. 455-463EXTREMUM PROPERTIES OF DUAL Lp-CENTROID BODY AND Lp-JOHN ELLIPSOIDTong-Yi Mapp. 465-479AN EXTENDED SPACE DL(S) ASSOCIATED WITH HL(S)양미혜pp. 481-493CONVERGENCE RATES FOR THE MOMENTS OF EXTREMESZuoxiang Peng, Saralees Nadarajahpp. 495-510PRIME RADICALS IN UP-MONOID RINGS김진아, 천정수pp. 511-515