Results 11 to 20 of about 1,397 (85)

Skew‐symmetric vector fields on a CR‐submanifold of a para‐Kählerian manifold

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 10, Page 535-540, 2004., 2004
We deal with a CR‐submanifold M of a para‐Kählerian manifold M˜, which carries a J‐skew‐symmetric vector field X. It is shown that X defines a global Hamiltonian of the symplectic form Ω on M⊤ and JX is a relative infinitesimal automorphism of Ω. Other geometric properties are given.
Adela Mihai, Radu Rosca
wiley   +1 more source

Para‐f‐Lie groups

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3149-3152, 2003., 2003
Special para‐f‐structures on Lie groups are studied. It is shown that every para‐f‐Lie group G is the quotient of the product of an almost product Lie group and a Lie group with trivial para‐f‐structure by a discrete subgroup.
Andrew Bucki
wiley   +1 more source

Lagrange geometry on tangent manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 51, Page 3241-3266, 2003., 2003
Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry. In this paper, we study a generalization which consists of replacing the tangent bundle by a general ...
Izu Vaisman
wiley   +1 more source

Global geometric structures associated with dynamical systems admitting normal shift of hypersurfaces in Riemannian manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 9, Page 541-557, 2002., 2002
One of the ways of transforming hypersurfaces in Riemannian manifold is to move their points along some lines. In Bonnet construction of geodesic normal shift, these points move along geodesic lines. Normality of shift means that moving hypersurface keeps orthogonality to the trajectories of all its points.
Ruslan A. Sharipov
wiley   +1 more source

Families of (1, 2)‐symplectic metrics on full flag manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 11, Page 651-664, 2002., 2002
We obtain new families of (1, 2)‐symplectic invariant metrics on the full complex flag manifolds F(n). For n ≥ 5, we characterize n − 3 different n‐dimensional families of (1, 2)‐symplectic invariant metrics on F(n). Each of these families corresponds to a different class of nonintegrable invariant almost complex structures on F(n).
Marlio Paredes
wiley   +1 more source

A Kähler Einstein structure on the tangent bundle of a space form

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 183-195, 2001., 2001
We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive ...
Vasile Oproiu
wiley   +1 more source

Submanifolds of F‐structure manifold satisfying FK + (−)K+1F = 0

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 167-172, 2001., 2001
The purpose of this paper is to study invariant submanifolds of an n‐dimensional manifold M endowed with an F‐structure satisfying FK + (−)K+1F = 0 and FW + (−)W+1F ≠ 0 for 1 < W < K, where K is a fixed positive integer greater than 2. The case when K is odd (≥3) has been considered in this paper.
Lovejoy S. Das
wiley   +1 more source

On a class of contact Riemannian manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 5, Page 327-334, 2000., 2000
We determine a locally symmetric or a Ricci‐parallel contact Riemannian manifold which satisfies a D‐homothetically invariant condition.
Jong Taek Cho
wiley   +1 more source

On real hypersurfaces in quaternionic projective space with 𝒟⊥‐recurrent second fundamental tensor

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 109-117, 1999., 1999
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥‐recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
wiley   +1 more source

Kobayashi—Hitchin correspondence for twisted vector bundles

Complex Manifolds, 2021
We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj   +1 more source