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Displaying 21 – 40 of 49

Slant submanifolds in cosymplectic manifolds

Ram Shankar Gupta, S. M. Khursheed Haider, A. Sharfuddin (2006)

Colloquium Mathematicae

We give some examples of slant submanifolds of cosymplectic manifolds. Also, we study some special slant submanifolds, called austere submanifolds, and establish a relation between minimal and anti-invariant submanifolds which is based on properties of the second fundamental form. Moreover, we give an example to illustrate our result.

Smooth metric measure spaces, quasi-Einstein metrics, and tractors

Jeffrey Case (2012)

Open Mathematics

We introduce the tractor formalism from conformal geometry to the study of smooth metric measure spaces. In particular, this gives rise to a correspondence between quasi-Einstein metrics and parallel sections of certain tractor bundles. We use this formulation to give a sharp upper bound on the dimension of the vector space of quasi-Einstein metrics, providing a different perspective on some recent results of He, Petersen and Wylie.

Some Bundles of Non-Negative Curvature.

A. Rigas (1978)

Mathematische Annalen

Some Classes of Lorentzian $α$ -Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection

Santu DEY, Buddhadev Pal, Arindam BHATTACHARYYA (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian $α$ -Sasakian manifold. We study some curvature properties of an Lorentzian $α$ -Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally $φ$ -symmetric, $φ$ -symmetric, locally projective $φ$ -symmetric, $ξ$ -projectively flat Lorentzian $α$ -Sasakian manifold with respect to the quarter-symmetric metric connection.

Some constructions of biharmonic maps on the warped product manifolds

Abdelmadjid Bennouar, Seddik Ouakkas (2017)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.

Some curvature identities for commutative spaces

Oldřich Kowalski (1982)

Czechoslovak Mathematical Journal

Some examples of almost Kähler 4-manifolds.

Sato, Takuji (2000)

Balkan Journal of Geometry and its Applications (BJGA)

Some examples of Randers spaces.

Anastasiei, M., Gheorghe, M. (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Some Nonsemisymmetric Ricci-semisymmetric Warped Product Hypersurfaces

Ryszard Deszcz, Malgorzata Glogowska (2002)

Publications de l'Institut Mathématique

Some properties of almost $r$ -paracontact manifolds.

Bucki, A. (2001)

Lobachevskii Journal of Mathematics

Some Properties of Lorentzian $α$ -Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection

Santu DEY, Arindam BHATTACHARYYA (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian $α$ -Sasakian manifold with respect to quarter-symmetric metric connection. Finally, we give an example of 3-dimensional Lorentzian $α$ -Sasakian manifold with respect to quarter-symmetric metric connection.

Some remarks on almost Kenmotsu manifolds.

Binh, T.Q., Tamássy, L., De, U.C., Tarafdar, M. (2002)

Mathematica Pannonica

Some results on anti-invariant submanifolds of a trans-Sasakian manifold.

Shahid, Mohammed Hasan (2004)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Some results on $𝒦$ -manifolds.

Di Terlizzi, Luigia, Pastore, Anna Maria (2002)

Balkan Journal of Geometry and its Applications (BJGA)

Some results on the frame bundle of an almost contact metric manifold

Ana Dorotea Tarrío Tobar (1987)

Extracta Mathematicae

Some results on warped product submanifolds of a Sasakian manifold.

Uddin, Siraj, Khan, V.A., Khan, Huzoor H. (2010)

International Journal of Mathematics and Mathematical Sciences

Some spectral results for the Laplacian on line bundles over Sn.

Ruishi Kuwabara (1984)

Commentarii mathematici Helvetici

Some type of semisymmetry on two classes of almost Kenmotsu manifolds

Dibakar Dey, Pradip Majhi (2021)

Communications in Mathematics

The object of the present paper is to study some types of semisymmetry conditions on two classes of almost Kenmotsu manifolds. It is shown that a $(k, μ)$ -almost Kenmotsu manifold satisfying the curvature condition $Q \cdot R = 0$ is locally isometric to the hyperbolic space $ℍ^{2 n + 1} (- 1)$ . Also in $(k, μ)$ -almost Kenmotsu manifolds the following conditions: (1) local symmetry $(\nabla R = 0)$ , (2) semisymmetry $(R \cdot R = 0)$ , (3) $Q (S, R) = 0$ , (4) $R \cdot R = Q (S, R)$ , (5) locally isometric to the hyperbolic space $ℍ^{2 n + 1} (- 1)$ are equivalent. Further, it is proved that a ${(k, μ)}^{'}$ -almost Kenmotsu manifold satisfying...

Sous-variétés complexes d'Einstein de l'espace projectif

Dominique Hulin (1996)

Bulletin de la Société Mathématique de France

Special directions on contact metric manifolds of negative $ξ$ -sectional curvature

David E. Blair (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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