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In this paper, we introduce the notion of incoherent definite orthogonal and Hermitian spaces, and use their neighboring spaces as a tool for the local study of orthogonal and unitary Shimura varieties. This generalizes earlier work, using…

Number Theory · Mathematics 2020-05-12 Benedict H Gross

We introduce a new technique to the study and identification of submanifolds of simply-connected symmetric spaces of compact type based upon an approach computing $k$-positive Ricci curvature of the ambient manifolds and using this…

Differential Geometry · Mathematics 2022-05-20 Manuel Amann , Peter Quast , Masoumeh Zarei

The aim of this paper is to study Clairaut semi-slant(hemi-slant) Riemannian maps to K\"ahler manifolds.

Differential Geometry · Mathematics 2025-12-09 Jyoti Yadav , Gauree Shanker

We obtain a local classification of complex homothetic foliations on Kaehler manifolds by complex curves. This is used to construct almost Kaehler, Ricci-flat metrics subject to additional curvature properties.

Differential Geometry · Mathematics 2012-06-18 Simon G. Chiossi , Paul-Andi Nagy

This paper determined the components of the generalized curvature tensor for the class of Kenmotsu type and established the mentioned class is {\eta}-Einstein manifold when the generalized curvature tensor is flat; the converse holds true…

Differential Geometry · Mathematics 2023-06-22 Mohammed Y. Abass , Habeeb M. Abood

We prove several criteria for quasi-isometry between non-locally-finite graphs and their structure trees. Results of M\"oller in \cite{moeller92ends2} for locally finite and transitive graphs are generalized. We also give a criterion which…

Combinatorics · Mathematics 2007-05-23 Bernhard Krön

The main result of this paper is a sufficient condition in order to have a compact Thom-Mather stratified pseudomanifold endowed with a $\hat{c}$-iterated edge metric on its regular part $q$-parabolic. Moreover, besides stratified…

Probability · Mathematics 2016-10-13 Franceso Bei , Batu Güneysu

The equivariant holomorphic torsion of a compact locally symmetric manifold and an automorphism is expressed as a special value of a zeta function built out of geometric data (closed geodesics) of the manifold.

dg-ga · Mathematics 2008-02-03 Anton Deitmar

In this paper we study para-Kenmotsu manifolds. We characterize this manifolds by tensor equations and study their properties. We are devoted to a study of $\eta-$Einstein manifolds. We show that a conformally flat para-Kenmotsu manifold is…

Differential Geometry · Mathematics 2018-02-14 Simeon Zamkovoy

Shape theory works nice for (Hausdorff) paracompact spaces, but for spaces with no separation axioms, it seems to be quite poor. However, for finite and locally finite spaces their weak homotopy type is rather rich, and is equivalent to the…

Algebraic Topology · Mathematics 2010-12-30 Andrei V. Prasolov

We will discuss in this paper homogeneous locally conformally Keahler (or shortly homogeneous l.c.K.) manifolds and locally homogeneous l.c.K. manifolds from various aspects of study in the field of l.c.K. geometry. We will provide a survey…

Differential Geometry · Mathematics 2016-01-19 Keizo Hasegawa , Yoshinobu Kamishima

We describe for any Riemannian manifold a certain infinitesimal neighbourhood of the diagonal. Semi-conformal maps are analyzed as those that preserve such neighbourhoods; harmonic maps are analyzed as those that preserve mirror image…

Differential Geometry · Mathematics 2007-05-23 Anders Kock

We use quantum and Floer homology to construct (partial) quasi-morphisms on the universal cover of the group of compactly supported Hamiltonian diffeomorphisms for a certain class of non-closed strongly semi-positive symplectic manifolds…

Symplectic Geometry · Mathematics 2016-05-10 Sergei Lanzat

The aim of this paper is to give a new description of the geometry appearing in the multi-specialization along a general family of submanifolds of a real analytic manifold (including some important cases as clean intersection or a…

Algebraic Geometry · Mathematics 2016-09-02 Naofumi Honda , Luca Prelli

We list up all the possible local orbit types of hyperbolic or elliptic orbits for the isotropy representations of semisimple pseudo-Riemannian symmetric spaces. It is key to give a recipe to determine the local orbit types of hyperbolic…

Differential Geometry · Mathematics 2019-07-23 Kurando Baba

We investigate the geometric and topological structure of equidistant decompositions of Riemannian manifolds.

Differential Geometry · Mathematics 2022-12-21 Vitali Kapovitch , Alexander Lytchak

The purpose of this thesis is to use the language of orbifold groupoids to describe the geometry and topology of orbifolds, highlighting advantages and disadvantages of this language as they arise.

Differential Geometry · Mathematics 2013-09-26 Alexander Amenta

In the present paper, we discuss the non-trivial warped product pseudo slant submanifolds of type $M_{\bot }\times _{f}M_{\theta }$ and $M_{\theta}\times _{f}M_{\bot }$ of nearly Kenmotsu $f$-manifold $\overline{M}$. Firstly, we get some…

Differential Geometry · Mathematics 2019-01-17 Yavuz Selim Balkan , Aliya Naaz Siddiqui , Akram Ali

In this paper, we study local systems of locally finite associative algebras over fields of characteristic p\ge0. We describe the perfect local systems and study the relation between them and their corresponding locally finite associative…

Rings and Algebras · Mathematics 2021-01-08 Hasan M S Shlaka

The aim of this work is to introduce and study some new types of generalizations of pairwise paralindeloff spaces, pairwise nearly paralindeloff and almost paralindeloff spaces. Some of their characterizations, properties and subsets are…

General Topology · Mathematics 2015-01-05 Hend Bouseliana , Adem Kilicman