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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.10
- 수록면
- 783 - 800 (18page)
- DOI
- 10.4134/CKMS.c200305
이용수
초록· 키워드
오류제보하기
We prove the non-existence of warped product GCR-lightlike submanifolds of the type K⊥ ×λ KT such that KT is a holomorphic submanifold and K⊥ is a totally real submanifold in an indefinite Kaehler manifold K? . Further, the existence of GCR-lightlike warped product submanifolds of the type KT ×λ K⊥ is obtained by establishing a characterization theorem in terms of the shape operator and the warping function in an indefinite Kaehler manifold. Consequently, we find some necessary and sufficient conditions for an isometrically immersed GCR-lightlike submanifold in an indefinite Kaehler manifold to be a GCR-lightlike warped product, in terms of the canonical structures f and ω. Moreover, we also derive a geometric estimate for the second fundamental form of GCRlightlike warped product submanifolds, in terms of the Hessian of the warping function λ.
목차
등록된 정보가 없습니다.
참고문헌 (17)
참고문헌 신청
Manuel Barros / 1982 / Indefinite K�hler manifolds / Mathematische Annalen 261(1):55~62
J. K. Beem / 1982 / Selected Studies: Physics-Astrophysics, Mathematics, History of Science / NorthHolland :41~56
R. L. Bishop / 1969 / Manifolds of negative curvature / Trans. Amer. Math. Soc 145:1~49
B.-Y. Chen / 2001 / Geometry of warped product CR-submanifolds in Kaehler manifolds / Monatsh. Math. 133(3,):177~195
B.-Y. Chen / 2017 / Differential Geometry of Warped Product Manifolds and Submanifolds / World Scientific Publishing Co. Pte. Ltd
J. K. Beem / 1982 / Selected Studies: Physics-Astrophysics, Mathematics, History of Science / NorthHolland :41~56
R. L. Bishop / 1969 / Manifolds of negative curvature / Trans. Amer. Math. Soc 145:1~49
B.-Y. Chen / 2001 / Geometry of warped product CR-submanifolds in Kaehler manifolds / Monatsh. Math. 133(3,):177~195
B.-Y. Chen / 2017 / Differential Geometry of Warped Product Manifolds and Submanifolds / World Scientific Publishing Co. Pte. Ltd
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