On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
Displaying 661 – 680 of 1303
On Riemannian tangent bundles.
Al-Aqeel, Adnan, Bejancu, Aurel (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
On sectional and bisectional curvature of the -umbilical submanifolds.
Ianus, S., Rizza, G.B. (2002)
International Journal of Mathematics and Mathematical Sciences
On sectional curvature of a Riemannian manifold with semi-symmetric metric connection
Füsun Özen Zengin, S. Aynur Uysal, Sezgin Altay Demirbag (2011)
Annales Polonici Mathematici
We prove that if the sectional curvature of an n-dimensional pseudo-symmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.
On Sectional Curvature of Indefinite Metrics.
Katsumi Nomizu, Larry Graves (1978)
Mathematische Annalen
On Sectional Curvature of Indefinite Metrics, II.
Katsumi Nomizu, Marcos Dajczer (1980)
Mathematische Annalen
On semi-invariant submanifolds of -cosymplectic manifolds.
Tripathi, Mukut Mani (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
Ryszard Deszcz, Małgorzata Głogowska, Hideko Hashiguchi, Marian Hotloś, Makoto Yawata (2013)
Colloquium Mathematicae
We investigate semi-Riemannian manifolds with pseudosymmetric Weyl curvature tensor satisfying some additional condition imposed on their curvature tensor. Among other things we prove that the so-called Roter type equation holds on such manifolds. We present applications of our results to hypersurfaces in semi-Riemannian space forms, as well as to 4-dimensional warped products.
On Some 2-Dimensional Hermitian Manifolds.
F. Tricerri, I. Vaisman (1986)
Mathematische Zeitschrift
On some Akivis - Goldberg Type Metrics
Ryszard Deszcz (2003)
Publications de l'Institut Mathématique
On some Akivis-Goldberg type metrics.
Deszsz, Ryszard (2003)
Publications de l'Institut Mathématique. Nouvelle Série
On some algebraic identities and the exterior product of double forms
Mohammed Larbi Labbi (2013)
Archivum Mathematicum
We use the exterior product of double forms to free from coordinates celebrated classical results of linear algebra about matrices and bilinear forms namely Cayley-Hamilton theorem, Laplace expansion of the determinant, Newton identities and Jacobi’s formula for the determinant. This coordinate free formalism is then used to easily generalize the previous results to higher multilinear forms namely to double forms. In particular, we show that the Cayley-Hamilton theorem once applied to the second...
On some analytical manifolds of constant sectional curvature.
Boja, Nicolae (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
On some class of hypersurfaces with three distinct principal curvatures
Katarzyna Sawicz (2005)
Banach Center Publications
We investigate hypersurfaces M in spaces of constant curvature with some special minimal polynomial of the second fundamental tensor H of third degree. We present a curvature characterization of pseudosymmetry type for such hypersurfaces. We also prove that if such a hypersurface is a manifold with pseudosymmetric Weyl tensor then it must be pseudosymmetric.
On some class of nearly conformally symmetric manifolds
Stanisław Formella (1995)
Colloquium Mathematicae
On some class of pseudosymmetric warped products
Ryszard Deszcz, Dorota Kowalczyk (2003)
Colloquium Mathematicae
We present curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature.
On some C-totally real submanifolds in a space with Sasakian 3-structure
Toshihiko Ikawa (1984)
Colloquium Mathematicae
On some curvature tensors of complex analytic and locally decomposable Riemannian spaces with -connection.
Stojković, Neda (1983)
Publications de l'Institut Mathématique. Nouvelle Série
On some flat connection associated with locally symmetric surface
Maria Robaszewska (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
For every two-dimensional manifold M with locally symmetric linear connection ∇, endowed also with ∇-parallel volume element, we construct a flat connection on some principal fibre bundle P(M,G). Associated with - satisfying some particular conditions - local basis of TM local connection form of such a connection is an R(G)-valued 1-form build from the dual basis ω1, ω2 and from the local connection form ω of ▽. The structural equations of (M,∇) are equivalent to the condition dΩ-Ω∧Ω=0. This work...
On some generalisation of recurrent manifolds.
Ewert-Krzemieniewski, Stanisław (1993)
Mathematica Pannonica