지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 389 - 415 (27page)
이용수
초록· 키워드
오류제보하기
Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (φ, ξ, η, g) in a complex space form Mn+1(c), c ̸= 0. We denote by Rξ and RX′ be the structure Jacobi operator with re- spect to the structure vector ξ and be RX′ = (∇XR)(·,X)X for any unit vector field X on M, respectively. Suppose that the third fundamental form t satisfies dt(X, Y ) = 2θg(φX, Y ) for a scalar θ(̸= 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies Rξφ = φRξ and at the same time Rξ′ = 0, then M is a Hopf real hypersurfaces of type (A), provided that the scalar curvature r ̄ of M holds r ̄ − 2(n − 1)c ≤ 0.
목차
등록된 정보가 없습니다.
참고문헌 (27)
참고문헌 신청
A. Bejancu / 1978 / CR-submanifolds of a Kahler manifold I / Proc. Amer. Math. Soc 69:135~142
J. Berndt / 1989 / Real hypersurfaces with constant principal curvatures in a complex hyperbolic space / J. Reine Angew. Math 395:132~141
J. Berndt / 1992 / Two natural generalizations of locally symmetric spaces / Diff. Geom. Appl 2:57~82
D. E. Blair / 1976 / Semi-invariant immersion / Kodai Math. Sem. Rep 27:313~319
T. E. Cecil / 1982 / Focal sets and real hypersurfaces in complex projective space / Trans. Amer. Math. Soc 269:481~499
J. Berndt / 1989 / Real hypersurfaces with constant principal curvatures in a complex hyperbolic space / J. Reine Angew. Math 395:132~141
J. Berndt / 1992 / Two natural generalizations of locally symmetric spaces / Diff. Geom. Appl 2:57~82
D. E. Blair / 1976 / Semi-invariant immersion / Kodai Math. Sem. Rep 27:313~319
T. E. Cecil / 1982 / Focal sets and real hypersurfaces in complex projective space / Trans. Amer. Math. Soc 269:481~499
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Submanifolds of Codimension 3 in a Complex Space Form with Commuting Structure Jacobi Operator
Kyungpook Mathematical Journal
2022 .03
-
Certain Characterization of Real Hypersurfaces of type A in a Nonflat Complex Space Form
Kyungpook Mathematical Journal
2021 .01
-
SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM WITH ξ-PARALLEL STRUCTURE JACOBI OPERATOR
East Asian Mathematical Journal
2024 .01
-
Chatterjee의 ξ 계수에 대한 탐색적자료분석
응용통계연구
2022 .06
-
Semi-invariant submanifolds of codimension 3 in a complex space form in terms of the structure Jacobi operator
대한수학회논문집
2022 .01
-
Generalized Integration Operator between the Bloch-type Space and Weighted Dirichlet-type Spaces
Kyungpook Mathematical Journal
2020 .01
-
Semi-invarinat Submanifolds of Codimension 3 satisfying $\nabla_{\phi\nabla_{\xi}\xi}R_\xi =0$ in a Complex Space Form
East Asian Mathematical Journal
2021 .01
-
SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
대한수학회보
2015 .01
-
REMARKS ON NONSPECIAL LINE BUNDLES ON GENERAL k-GONAL CURVES
대한수학회지
2015 .01
-
FIXED POINT THEOREMS FOR (ξ,β)-EXPANSIVE MAPPING IN G-METRIC SPACE USING CONTROL FUNCTION
Nonlinear Functional Analysis and Applications
2022 .01
-
Real hypersurfaces in the complex hyperbolic quadric with cyclic parallel structure Jacobi operator
대한수학회지
2024 .03
-
Generalized Killing structure Jacobi operator for real hypersurfaces in complex hyperbolic two-plane Grassmannians
대한수학회지
2022 .03
-
A new classification of real hypersurfaces with Reeb parallel structure Jacobi operator in the complex quadric
대한수학회지
2021 .01
-
MAPPING PRESERVING NUMERICAL RANGE OF OPERATOR PRODUCTS ON C∗-ALGEBRAS
대한수학회보
2015 .01
-
Characterizations for Real Hypersurfaces in Complex and Quaternionic Space Forms Related to the Normal Jacobi Operator
Kyungpook Mathematical Journal
2016 .01
-
Killing structure Jacobi operator of a real hypersurface in a complex projective space
대한수학회지
2021 .01
-
2-Type Hypersurfaces Satisfying $ \langle \Delta x , x-x_0 \rangle = \mbox{const.}$
East Asian Mathematical Journal
2018 .01
-
HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC φ-SYMMETRIC CONNECTION
Nonlinear Functional Analysis and Applications
2018 .03
-
Best Proximity Point Theorems for Cyclic θ-φ-contraction on Metric Spaces
순수 및 응용수학
2022 .11
-
Fixed Point Theorems for (φ, F)-contraction in Generalized Asymmetric Metric Spaces
순수 및 응용수학
2022 .11
이 논문의 저자 정보
최근 본 자료
댓글(0)
0