Gupta, Punam Singh, Sanjay Kumar
Published in
Afrika Matematika

In the present paper, the authors investigate geometric properties of Clairaut semi-invariant submersions whose total manifold is a Kähler manifold. We find new Clairaut conditions for semi-invariant submersions from Kähler manifold onto Riemannian manifold. We find the conditions for the semi-invariant submersions to be Clairaut map and also obtai...

Ghosh, Amalendu
Published in
Results in Mathematics

We study Einstein-Weyl structure on K-contact and contact metric manifolds satisfying certain condition on the Weyl curvature tensor and prove that these are Einstein and Sasakian. Next, we prove that a (k,μ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepac...

Shaikh, Absos Ali Ali, Akram Alkhaldi, Ali H. Chakraborty, Dhyanesh Datta, Biswa Ranjan
Published in
General Relativity and Gravitation

This article deals with the investigation of geometric properties in terms of curvatures of Lemaître–Tolman–Bondi (briefly, LTB) spacetime (Lemaître 1933; Tolman 1934; Bondi 1947), an inhomogeneous cosmological model of the universe. It is shown that LTB spacetime is an Einstein manifold of level 3, 2-quasi Einstein and generalized Roter type manif...

Inoguchi, Jun-ichi Lee, Ji-Eun
Published in
Journal of Geometry

We study φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end{document}-trajectories in Kenmotsu manifolds. Parametric expression for φ\documentclass[12pt]{m...

Roy, Soumendu Bhattacharyya, Arindam
Published in
Acta Mathematica Sinica, English Series

The purpose of the present paper is to deliberate *-conformal Yamabe soliton, whose potential vector field is torse-forming on Kenmotsu manifold. Here, we have shown the nature of the soliton and find the scalar curvature when the manifold admitting *-conformal Yamabe soliton on Kenmotsu manifold. Next, we have evolved the characterization of the v...

Djorić, Miloš
Published in
Mediterranean Journal of Mathematics

We study the hypersurfaces of S3×S3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {S}}^3 \times {\mathbb {S}}^3$$\end{document} with a specially chosen P\docu...

Fernandez, Luis Shin, Tobias Wilson, Scott O.
Published in
Complex Manifolds

We give several explicit examples of compact manifolds with a 1-parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the C0-norm. The 4-dimensional examples possess no complex structure, whereas the 6-dimensional example does not possess a left invariant complex structure, and whether it possesses a complex str...

Sillari, Lorenzo Tomassini, Adriano
Published in
Complex Analysis and Operator Theory

In this paper we relate the cohomology of J-invariant forms to the Dolbeault cohomology of an almost complex manifold. We find necessary and sufficient condition for the inclusion of the former into the latter to be true up to isomorphism. We also extend some results obtained by J. Cirici and S. O. Wilson about the computation of the left-invariant...

Alghamdi, Fatimah Chen, Bang-Yen Uddin, Siraj
Published in
Results in Mathematics

In this paper, we study the geometry of pointwise semi-slant warped products in a locally conformal Kaehler manifold. In particular, we obtain several results which extend Chen’s inequality for CR-warped product submanifolds in Kaehler manifolds. Also, we study the corresponding equality cases. Several related results on pointwise semi-slant warped...

Gök, Mustafa
Published in
Journal of Geometry

In this paper, we study any submanifold of a locally decomposable metallic Riemannian manifold in the case that the codimension of the submanifold is greater than or equal to the rank of the set of tangent vector fields of the induced structure on it by the metallic Riemannian structure of the ambient manifold. Finally, we give two examples of subm...