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GENERAL NATURAL RIEMANNIAN ALMOST PRODUCT AND PARA-HERMITIAN STRUCTURES ON TANGENT BUNDLES
Taiwanese Journal of Mathematics, 2012 We find the almost product (locally product) structures of general natural lift type on the tangent bundle of a Riemannian manifold. We get the conditions under which the tangent bundle endowed with such a structure and with a general natural lifted metric is a Riemannian almost product (locally product) or an (almost) para-Hermitian manifold.
Simona-Luiza Druţǎ-Romaniuc
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Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions
Journal of Mathematical Sciences, 2018Summary: We prove Liouville type theorems, i.e., non-existence theorems for special classes of Riemannian almost product structures and submersions, that generalize well-known similar results of the theory of compact Riemannian manifolds.
Alexandrova, I. A. +2 more
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Riemannian almost-product structures with maximal mobility
Geometriae Dedicata, 1987Let \(n_ 1,...,n_ r\) be positive integers, \(n=n_ 1+...+n_ r\). A Riemannian almost-product structure of type \((n_ 1,...,n_ r)\) is an n-dimensional manifold M together with an \(O(n_ 1)\times...\times O(n_ r)\)-structure on M. The almost product structure is said to have maximal mobility if its group G of automorphisms has maximal dimension \(1/2 ...
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Note on almost complex structures on products of lens spaces
Mathematical Proceedings of the Cambridge Philosophical Society, 1984AbstractThe purpose of this note is to count almost complex structures on products of some lens spaces.
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Hematology/ Oncology and Stem Cell Therapy, 2013
Differentiable principal fibre bundles have been defined and studied by Kobayashi and Nomizu [3] and others. In this paper, I have studied an almost product structure in the manifold P of a differentiable principal fibre bundle (P, M , G , P p ). Keywords. Differentiable manifold, Fibre bundle, left invariant , Almost product structure.
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Differentiable principal fibre bundles have been defined and studied by Kobayashi and Nomizu [3] and others. In this paper, I have studied an almost product structure in the manifold P of a differentiable principal fibre bundle (P, M , G , P p ). Keywords. Differentiable manifold, Fibre bundle, left invariant , Almost product structure.
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Bochner's technique in the theory of Riemannian almost product structures
Mathematical Notes of the Academy of Sciences of the USSR, 1990See the review in Zbl 0713.53020.
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A new look at degenerate Lagrangian dynamics from the viewpoint of almost-product structures
Journal of Physics A: Mathematical and General, 1995Summary: Singular Lagrangian systems are studied in the framework of almost-product structures. The choice of an appropriate almost-product structure permits us to obtain the dynamics. The relationship with the Dirac bracket is also elucidated.
de León, Manuel +2 more
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9th International Students Science Congress Proceedings Book
In this talk, the geometry of a surface is examined when the shape operator matrix of a surface along a surface curve is almost complex structure, almost product structure and almost tangent structure. First, it was shown that the shape operator matrix of a surface along a surface curve cannot be almost complex structure.
Bayram Şahin +2 more
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In this talk, the geometry of a surface is examined when the shape operator matrix of a surface along a surface curve is almost complex structure, almost product structure and almost tangent structure. First, it was shown that the shape operator matrix of a surface along a surface curve cannot be almost complex structure.
Bayram Şahin +2 more
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Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups
International Journal of Geometric Methods in Modern Physics, 2019The main result of this paper gives a characterization of left-invariant almost [Formula: see text]-coKähler structures on three-dimensional (3D) semidirect product Lie groups [Formula: see text] in terms of the matrix [Formula: see text]. Then, we study the harmonicity of the Reeb vector field [Formula: see text] of a simply connected homogeneous ...
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A NOTE ON INTEGRABILITY OF ALMOST PRODUCT RIEMANNIAN STRUCTURES
2009Using the Yano-Ako operator, we give a new sufficient condition of integrability for almost product Riemannian structures on the differentiable manifold and apply this condition to the case of almost product Riemannian structures defined on the tensor bundle.
Akbulut, Kürşat +2 more
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