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...

Kawamura, Masaya
Published in
Results in Mathematics

We consider the Hessian equation on compact almost Hermitian manifolds and show one of important inequalities for a smooth solution of the equation. Applying the main estimate, we obtain C2,α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \u...

Pérez, Juan de Dios Pérez-López, David
Published in
Mediterranean Journal of Mathematics

We consider real hypersurfaces M in complex projective space equipped with both the Levi-Civita and generalized Tanaka–Webster connections. Associated with the generalized Tanaka–Webster connection we can define a differential operator of first order. For any nonnull real number k and any symmetric tensor field of type (1,1) B on M, we can define a...

Kawamura, Masaya
Published in
Complex Manifolds

We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.

Saha, Apurba Azami, Shahroud Hui, Shyamal Kumar
Published in
Mediterranean Journal of Mathematics

Let (Mn,g(t))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(M^n, g(t))$$\end{document} be a compact Riemannian manifold. In this paper, we derive the evolution formul...

Peyghan, Esmaeil Nourmohammadifar, Leila Mihai, Ion
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Introducing left invariant almost para-contact metric structures on Hom-Lie groups (Hom-Lie algebras), we study the normal and para-Sasakian conditions on them. The left-invariant curvature tensor properties of left-invariant para-Sasakian Hom-Lie groups are investigated. Some examples are commented as support of the obtained results.