Expand all Collapse all | Results 1 - 15 of 15 |
1. CMB 2013 (vol 57 pp. 821)
Real Hypersurfaces in Complex Two-Plane Grassmannians with Reeb Parallel Structure Jacobi Operator In this paper we give a characterization of a real hypersurface of
Type~$(A)$ in complex two-plane Grassmannians ${ { {G_2({\mathbb
C}^{m+2})} } }$, which means a
tube over a totally geodesic $G_{2}(\mathbb C^{m+1})$ in
${G_2({\mathbb C}^{m+2})}$, by
the Reeb parallel structure Jacobi operator ${\nabla}_{\xi}R_{\xi}=0$.
Keywords:real hypersurfaces, complex two-plane Grassmannians, Hopf hypersurface, Reeb parallel, structure Jacobi operator Categories:53C40, 53C15 |
2. CMB 2011 (vol 56 pp. 306)
Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie $\mathbb{D}$-parallel |
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 operator Categories:53C15, 53C40 |
3. CMB 2011 (vol 55 pp. 114)
On Characterizations of Real Hypersurfaces in a Complex Space Form with $\eta$-Parallel Shape Operator |
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 operator Categories:53C40, 53C15 |
4. CMB 2011 (vol 54 pp. 422)
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 conditions Categories:53C15, 53B25 |
5. CMB 2010 (vol 53 pp. 564)
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 manifolds Categories:53C40, 53C15 |
6. CMB 2009 (vol 53 pp. 206)
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 product Categories:53C15, 53C25, 53C40 |
7. CMB 2009 (vol 52 pp. 18)
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 morphism Categories:53C15, 58E20 |
8. CMB 2008 (vol 51 pp. 359)
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 operator Categories:53B20, 53C15, 53C25 |
9. CMB 2007 (vol 50 pp. 347)
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 |
10. CMB 2007 (vol 50 pp. 97)
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 |
11. CMB 2006 (vol 49 pp. 134)
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 |
12. CMB 2004 (vol 47 pp. 354)
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. |
13. CMB 2001 (vol 44 pp. 70)
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 |
14. CMB 2000 (vol 43 pp. 440)
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 manifolds Categories:53C25, 53C15 |
15. CMB 1997 (vol 40 pp. 257)
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 |