Results 11 to 20 of about 3,068 (120)
Transformations of locally conformally K\"ahler manifolds [PDF]
, 2009 We consider several transformation groups of a locally conformally K\"ahler manifold and discuss their inter-relations. Among other results, we prove that all conformal vector fields on a compact Vaisman manifold which is neither locally conformally ...
A. Moroianu +8 more
core +3 more sources
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
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
Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
Open Mathematics, 2022 In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem +3 more
doaj +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
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
On Hyper Generalized Weakly Symmetric Manifolds
, 2018 This paper aims to introduce the notion of hyper generalized weakly symmetric manifolds with a non-trivial example.
K. Baishya, F. Zengin, J. Mikeš
semanticscholar +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
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