Results 11 to 20 of about 130 (124)

Four-dimensional Riemannian product manifolds with circulant structures [PDF]

, 2023
A 4-dimensional Riemannian manifold equipped with an additional tensor structure, whose fourth power is the identity, is considered. This structure has a circulant matrix with respect to some basis, i.e.
DOKUZOVA, Iva, Iva Dokuzova
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String-Theorie und Geometrie [PDF]

, 2004
The conference brought together mathematicians working in algebraic and differential geometry (14J32, 37J35, 53C15, 53C80) and physicists working on conformal quantum field theory and string theory (81T30, 81T40).

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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

Geometric characteristics and properties of a two-parametric family of Lie groups with almost contact B-metric structure of the smallest dimension [PDF]

, 2019
Almost contact B-metric manifolds of the lowest dimension 3 are constructed by a two-parametric family of Lie groups. Our purpose is to determine the class of considered manifolds in a classification of almost contact B-metric manifolds and their most ...
IVANOVA, Miroslava, DOSPATLIEV, Lilko
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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
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Strongly pseudo-convex CR space forms

Complex Manifolds, 2019
For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection.
Cho Jong Taek
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Towards the cosymplectic topology

Complex Manifolds, 2023
In this article, the cosymplectic analogue of the symplectic flux homomorphism of a compact connected cosymplectic manifold (M,η,ω)\left(M,\eta ,\omega ) with ∂M=∅\partial M=\varnothing is studied.
Tchuiaga Stéphane
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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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