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Fibred Riemannian space with almost complex structures
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We study fibred Riemannian spaces with almost complex structures which are induced by the almost complex structure or the almost contact structure on the base and fibre. We show that if the total space is a complex space form, then the total space is locally Euclidean. Moreover, we deal with the fibred Riemannian space with various Kaehlerian structures.
Abstract
We study fibred Riemannian spaces with almost complex structures which are induced by the almost complex structure or the almost contact structure on the base and fibre. We show that if the total space is a complex space form, then the total space is locally Euclidean. Moreover, we deal with the fibred Riemannian space with various Kaehlerian structures.
참고문헌 (21)
- M. Ako, "Fibred spaces with almost complex structures", K¯odai Math. Sem. Rep., 24, pp.482~505 (1972)
- A. Besse, "Einstein Manifolds" (1987), Springer-Verlag
- R. H. Escobales, Jr, "Riemannian submersions with totally geodesic fibers", J. Differential Geom., 10, pp.253~276 (1975)
- S. I. Goldberg, "On normal globally framed f-manifolds", Tohoku Math. J., 22(2), pp.362~370 (1970)
- S. Ishihara, "Differential geometry of fibred spaces, Publications of the Study Group of Geometry", Kyoto University, 8 (1973)
- B. H. Kim, "Fibred Riemannian spaces with contact structure", Hiroshima Math. J., (3), pp.493~508 (1988)
- B. H. Kim, "Fibred Riemannian spaces with quasi Sasakian structure", Hiroshima Math. J., 20(3), pp.477~513 (1990)
- S. Kobayashi, "Foundations of Differential Geometry in Interscience Tracts in Pure and Applied Mathematics" (1969), Interscience Publishers John Wiley & Sons, Inc.
- A. Morimoto, "On normal almost contact structures", J. Math. Soc. Japan, 15, pp.420~436 (1963)
- Y. Muto, "On some properties of a fibred Riemannian manifold", Yokohama Nat. Univ. Sect. I., 1, pp.1~14 (1952)
- Y. Ogawa, "Some properties on manifolds with almost contact structures", Tohoku Math. J., 15(2), pp.148~161 (1963)
- T. Okubo, "Fibred spaces with almost Hermitian metrics whose base spaces admit almost contact metric structures", Math. Ann., 183, pp.290~322 (1969)
- B. O’Neill, "The fundamental equations of a submersion", Michigan Math. J., 13, pp.459~469 (1966)
- B. L. Reinhart, "Foliated manifolds with bundle-like metrics", Ann. of Math., 69(2), pp.119~132 (1959)
- S. Tanno, "Almost complex structures in bundle spaces over almost contact manifolds", J. Math. Soc. Japan, 17, pp.167~186 (1965)
- Y. Tashiro, "Almost complex and almost contact structures in fibred Riemannian spaces", Hiroshima Math. J., 18(1), pp.161~188 (1988)
- B. Watson, "Almost Hermitian submersions", J. Differential Geometry, 11(1), pp.147~165 (1976)
- B. Watson, "The differential geometry of two types of almost contact metric submersions", The mathematical heritage of C. F. Gauss, pp.827~861 (1991), World Sci. Publ.
- T. J. Willmore, "Riemannian Geometry, Oxford Science Publications" (1993), The Clarendon Press
- K. Yano, "Differential Geometry on Complex and Almost Complex Spaces, International Series of Monographs in Pure and Applied Mathematics", A Pergamon Press Book. The Macmillan Co., 49 (1965)
- K. Yano, "Differential geometry of fibred spaces", K¯odai Math. Sem. Rep., 19, pp.257~288 (1967)
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