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In this paper we initiate the study of submanifolds of almost hypercomplex manifolds with Hermitian and Norden metrics. Object of investigations are holomorphic submanifolds of the hypercomplex manifolds which are locally conformally…

微分几何 · 数学 2016-05-10 Galia Nakova , Hristo Manev

In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be an invariant submanifold.In this case, we…

微分几何 · 数学 2014-10-20 Aysel Turgut Vanli , Ramazan Sari

We study locally standard $T^k$-manifolds $M$. In particular, we study the case where there is a continuous section to the orbit map $\pi : M \rightarrow M/T$. We give a classification of $T^k$-manifolds satisfying these conditions up to…

几何拓扑 · 数学 2022-12-21 Michael Wiemeler

In 1972, K. Kenmotsu studied a class of almost contact Riemannian manifolds. Later, such a manifold was called a Kenmotsu manifold. This paper, we studied Kenmotsu manifolds with $(2n+s)$-dimensional $s-$contact metric manifold and this…

微分几何 · 数学 2020-07-03 Aysel Turgut Vanli , Ramazan Sari

In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution which is involved in the definition of hemi-slant submanifold is integrable and give some…

微分几何 · 数学 2014-05-27 Hakan Mete Taştan , Fatma Özdemir

Our aim in this paper is to investigate some types of lightlike submanifolds in metallic semi-Riemannian manifolds. We study invariant and screen semi-invariant lightlike submanifolds of metallic semi-Riemannian manifolds and give examples.…

综合数学 · 数学 2018-11-14 Bilal Eftal Acet , Feyza Esra Erdoğan , Selcen Yüksel Perktaş

In this paper we study the hemi-slant submanifolds of cosymplectic manifolds. Necessary and sufficient conditions for distributions to be integrable are worked out. Some important results are obtained in this direction.

微分几何 · 数学 2016-03-07 Mehraj Ahmad Lone , Mohamd Saleem Lone , Mohammad Hasan Shahid

In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study it in the local case, i.e., in the neighborhood of a point.

微分几何 · 数学 2019-04-16 Philippe Monnier , Nguyen Tien Zung

The purpose of the present paper is to study semi-generalized recurrent, semi-generalized Ricci recurrent and conformal Ricci soliton on (LCS)n-manifold.

微分几何 · 数学 2019-01-23 Vishnuvardhana. S. V. , Venkatesha , S. K. Hui

This (quasi-)survey addresses the quasi-isometry classification of locally compact groups, with an emphasis on amenable hyperbolic locally compact groups. This encompasses the problem of quasi-isometry classification of homogeneous…

群论 · 数学 2020-05-05 Yves Cornulier

This survey describes some useful properties of the local homology of abstract simplicial complexes. Although the existing literature on local homology is somewhat dispersed, it is largely dedicated to the study of manifolds, submanifolds,…

We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical, real-analytic, complete Lorentz manifold such that the isometry group of the universal cover has semisimple…

微分几何 · 数学 2007-05-23 Karin Melnick

In a previous paper, we obtained a cohomological obstruction to the existence of compact manifolds locally modelled on a homogeneous space. In this paper, we give a classification of the semisimple symmetric spaces to which this obstruction…

微分几何 · 数学 2019-04-22 Yosuke Morita

The aim of the present paper is to study pseudo-symmetric, Ricci generalized pseudo-symmetric and generalized Ricci recurrent N(k)-Paracontact Metric Manifolds.

综合数学 · 数学 2019-01-24 Vishnuvardhana. S. V. , Venkatesha , B. Phalaksha Murthy , B. Shanmukha

In this paper, a systematic study of Kenmotsu pseudo-metric manifolds are introduced. After studying the properties of this manifolds, we provide necessary and sufficient condition for Kenmotsu pseudo-metric manifold to have constant…

微分几何 · 数学 2019-12-25 Devaraja Mallesha Naik , Venkatesha , D. G. Prakasha

The present paper is devoted to the study of mappings with finite distortion on Riemannian manifolds. Theorems on local behavior of generalized quasiisometries with unbounded characteristic of quasiconformality are obtained.

复变函数 · 数学 2015-12-22 E. A. Sevost'yanov , S. A. Skvortsov

This paper has two purposes. First it partially extends the result in the author's previous work concerning the asymptotic expansion of the Tian-Yau metrics, by considering a slightly larger class of quasi-projective manifolds. This text is…

微分几何 · 数学 2012-05-07 Bianca Santoro

In our article, we introduce and study lightlike hypersurfaces of a metallic semi-Riemannian manifold. We examine some geometric properties of invariant lightlike hypersurfaces. We show that the induced structure on an invariant lightlike…

微分几何 · 数学 2018-04-05 Bilal Eftal Acet

We study the Boothby-Wang fibration of para-Sasakian manifolds and introduce the class of para-Sasakian $\phi$-symmetric spaces, canonically fibering over para-Hermitian symmetric spaces. Using this fibration we give a method to explicitly…

微分几何 · 数学 2023-12-25 Eugenia Loiudice

The purpose of the article is to characterize \textbf{gradient $(m,\rho)$-quasi Einstein solitons} within the framework of two classes of almost Kenmotsu Manifolds. Finally, we consider an example to justify a result of our paper.

微分几何 · 数学 2024-02-05 Krishnendu De , Uday Chand De