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Search: MSC category 53C15 ( General geometric structures on manifolds (almost complex, almost product structures, etc.) )

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1. CMB 2011 (vol 56 pp. 306)

Pérez, Juan de Dios; Suh, Young Jin
 Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie $\mathbb{D}$-parallel We prove the non-existence of real hypersurfaces in complex projective space whose structure Jacobi operator is Lie $\mathbb{D}$-parallel and satisfies a further condition. Keywords:complex projective space, real hypersurface, structure Jacobi operatorCategories:53C15, 53C40

2. CMB 2011 (vol 55 pp. 114)

Kon, S. H.; Loo, Tee-How
 On Characterizations of Real Hypersurfaces in a Complex Space Form with $\eta$-Parallel Shape Operator In this paper we study real hypersurfaces in a non-flat complex space form with $\eta$-parallel shape operator. Several partial characterizations of these real hypersurfaces are obtained. Keywords:complex space form, Hopf hypersurfaces, ruled real hypersurfaces, $\eta$-parallel shape operatorCategories:53C40, 53C15

3. CMB 2011 (vol 54 pp. 422)

Pérez, Juan de Dios; Suh, Young Jin
 Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space We classify real hypersurfaces in complex projective space whose structure Jacobi operator satisfies two conditions at the same time. Keywords:complex projective space, real hypersurface, structure Jacobi operator, two conditionsCategories:53C15, 53B25

4. CMB 2010 (vol 53 pp. 564)

Watanabe, Yoshiyuki; Suh, Young Jin
 On $6$-Dimensional Nearly KÃ¤hler Manifolds In this paper we give a sufficient condition for a complete, simply connected, and strict nearly KÃ¤hler manifold of dimension 6 to be a homogeneous nearly KÃ¤hler manifold. This result was announced in a previous paper by the first author. Keywords:Nearly KÃ¤hler manifold, 6-dimension, Homogeneous, The 1st Chern Class, Einstein manifoldsCategories:53C40, 53C15

5. CMB 2009 (vol 53 pp. 206)

Atçeken, Mehmet
 Semi-Slant Submanifolds of an Almost Paracontact Metric Manifold In this paper, we define and study the geometry of semi-slant submanifolds of an almost paracontact metric manifold. We give some characterizations for a submanifold to be semi-slant submanifold to be semi-slant product and obtain integrability conditions for the distributions involved in the definition of a semi-slant submanifold. Keywords:paracontact metric manifold, slant distribution, semi-slant submanifold, semi-slant productCategories:53C15, 53C25, 53C40

6. CMB 2009 (vol 52 pp. 18)

Chinea, Domingo
 Harmonicity of Holomorphic Maps Between Almost Hermitian Manifolds In this paper we study holomorphic maps between almost Hermitian manifolds. We obtain a new criterion for the harmonicity of such holomorphic maps, and we deduce some applications to horizontally conformal holomorphic submersions. Keywords:almost Hermitian manifolds, harmonic maps, harmonic morphismCategories:53C15, 58E20

7. CMB 2008 (vol 51 pp. 359)

Cho, Jong Taek; Ki, U-Hang
 Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied. Among them, homogeneous real hypersurfaces of type $(A)$ in a complex projective or hyperbolic space are characterized as those whose structure Jacobi operator commutes with the shape operator. Keywords:complex space form, real hypersurface, structure Jacobi operatorCategories:53B20, 53C15, 53C25

8. CMB 2007 (vol 50 pp. 347)

Pérez, Juan de Dios; Santos, Florentino G.; Suh, Young Jin
 Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is of Codazzi Type We prove the non existence of real hypersurfaces in complex projective space whose structure Jacobi operator is of Codazzi type. Categories:53C15, 53B25

9. CMB 2007 (vol 50 pp. 97)

Kim, In-Bae; Kim, Ki Hyun; Sohn, Woon Ha
 Characterizations of Real Hypersurfaces in a Complex Space Form We study a real hypersurface $M$ in a complex space form $\mn$, $c \neq 0$, whose shape operator and structure tensor commute each other on the holomorphic distribution of $M$. Categories:53C40, 53C15

10. CMB 2006 (vol 49 pp. 134)

Suh, Young Jin
 Real Hypersurfaces in Complex Two-Plane Grassmannians with Vanishing Lie Derivative In this paper we give a characterization of real hypersurfaces of type $A$ in a complex two-plane Grassmannian $G_2(\mathbb{C}^{m+2})$ which are tubes over totally geodesic $G_2(\mathbb{C}^{m+1})$ in $G_2(\mathbb{C}^{m+2})$ in terms of the {\it vanishing Lie derivative\/} of the shape operator $A$ along the direction of the Reeb vector field $\xi$. Categories:53C40, 53C15

11. CMB 2004 (vol 47 pp. 354)

Fawaz, Amine
 An Integral Formula on Seifert Bundles We prove an integral formula on closed oriented manifolds equipped with a codimension two foliation whose leaves are compact. Categories:53C12, 53C15.

12. CMB 2001 (vol 44 pp. 70)

Lempert, László; Szőke, Róbert
 The Tangent Bundle of an Almost Complex Manifold Motivated by deformation theory of holomorphic maps between almost complex manifolds we endow, in a natural way, the tangent bundle of an almost complex manifold with an almost complex structure. We describe various properties of this structure. Category:53C15

13. CMB 2000 (vol 43 pp. 440)

Koufogiorgos, Themis; Tsichlias, Charalambos
 On the Existence of a New Class of Contact Metric Manifolds A new class of 3-dimensional contact metric manifolds is found. Moreover it is proved that there are no such manifolds in dimensions greater than 3. Keywords:contact metric manifolds, generalized $(\kappa,\mu)$-contact metric manifoldsCategories:53C25, 53C15

14. CMB 1997 (vol 40 pp. 257)

Baikoussis, Christos
 A characterization of real hypersurfaces in complex space forms in terms of the Ricci tensor We study real hypersurfaces of a complex space form $M_n(c)$, $c\ne 0$ under certain conditions of the Ricci tensor on the orthogonal distribution $T_o$. Categories:53C40, 53C15