Results 21 to 30 of about 47,687 (176)

Differentiable Rigidity under Ricci curvature lower bound [PDF]

open access: yes, 2010
In this article we prove a differentiable rigidity result. Let $(Y, g)$ and $(X, g_0)$ be two closed $n$-dimensional Riemannian manifolds ($n\geqslant 3$) and $f:Y\to X$ be a continuous map of degree $1$.
Bessières, Laurent   +3 more
core   +1 more source

A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة
This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
doaj   +1 more source

A Contribution of Liouville-Type Theorems to the Geometry in the Large of Hadamard Manifolds

open access: yesMathematics, 2022
A complete, simply connected Riemannian manifold of nonpositive sectional curvature is called a Hadamard manifold. In this article, we prove Liouville-type theorems for isometric and harmonic self-diffeomorphisms of Hadamard manifolds, as well as ...
Josef Mikeš   +2 more
doaj   +1 more source

On generalized semisymmetric Riemannian manifolds

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013
There are several generalizations of the concept of semi-symmetric Riemannian manifolds. In the present paper, we consider some special types of generalized semi-symmetric Riemannian manifolds with positive or negative defined curvature operator or ...
Josef Mikes, Sergey E. Stepanov
doaj   +1 more source

On Generalized Φ- Recurrent of Kenmotsu Type Manifolds

open access: yesمجلة بغداد للعلوم, 2022
          The present paper studies the generalized Φ-  recurrent of Kenmotsu type manifolds. This is done to determine the components of the covariant derivative of the Riemannian curvature tensor.
Habeeb M. Abood , Mohammed Y. Abass
doaj   +1 more source

Emergent time, cosmological constant and boundary dimension at infinity in combinatorial quantum gravity

open access: yesJournal of High Energy Physics, 2022
Combinatorial quantum gravity is governed by a discrete Einstein-Hilbert action formulated on an ensemble of random graphs. There is strong evidence for a second-order quantum phase transition separating a random phase at strong coupling from an ordered,
C. A. Trugenberger
doaj   +1 more source

Curvature measures of pseudo-Riemannian manifolds

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 2022
Abstract The Weyl principle is extended from the Riemannian to the pseudo-Riemannian setting, and subsequently to manifolds equipped with generic symmetric ( 0 ,
Bernig, Andreas   +2 more
openaire   +2 more sources

Almost Kenmotsu $f$-manifolds

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2015
In this paper, we consider a generalization of almost Kenmotsu f-manifolds. We get basic Riemannian curvature, sectional curvatures and scalar curvature properties such type manifolds. Finally, we give two examples to clarify some our results.
Y.S. Balkan, N. Aktan
doaj   +1 more source

On Sectional Curvatures of (ε)-Sasakian Manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
We obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian ...
Rakesh Kumar   +2 more
doaj   +1 more source

Eigenvalues of the bi-Xin-Laplacian on complete Riemannian manifolds

open access: yesCommunications in Analysis and Mechanics, 2023
The clamped plate problem describes the vibration of a clamped plate in the classical elastic mechanics, and the Xin-Laplacian is an important elliptic operator for understanding the geometric structure of translators of mean curvature flow(MCF for short)
Xiaotian Hao, Lingzhong Zeng
doaj   +1 more source

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