Results 81 to 90 of about 464,650 (293)

Hearing exotic smooth structures

Advanced Nonlinear Studies
This paper explores the existence and properties of basic eigenvalues and eigenfunctions associated with the Riemannian Laplacian on closed, connected Riemannian manifolds featuring an effective isometric action by a compact Lie group.
Cavenaghi Leonardo F., do Ó João Marcos, Sperança Llohann D.   +2 more
doaj   +1 more source

The Sub-Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss-Bonnet Theorem in the Group of Rigid Motions of Minkowski Plane with General Left-Invariant Metric

Journal of Function Spaces, 2021
The group of rigid motions of the Minkowski plane with a general left-invariant metric is denoted by E1,1,gλ1,λ2, where λ1≥λ2>0. It provides a natural 2-parametric deformation family of the Riemannian homogeneous manifold Sol3=E1,1,g1,1 which is the ...
Jianyun Guan, Haiming Liu
doaj   +1 more source

Partial orderings of curvature invariants

Physica Scripta
Abstract We establish a new set of pointwise inequalities that order curvature invariants across various Petrov and Segre types of spacetimes. In arbitrary spacetime dimension, we systematically analyze inequalities among contractions of the Ricci tensor.
openaire   +2 more sources

Recent developments in δ-Casorati curvature invariants

TURKISH JOURNAL OF MATHEMATICS, 2021
One of the basic problems in submanifold theory is to find simple relationships between the main extrinsic and intrinsic invariants of a submanifold. In order to obtain viable solutions to this problem, the author introduced in the early 1990's new types of Riemannian invariants, known as \(\delta\)-invariants or Chen invariants.
openaire   +2 more sources

Time‐restricted feeding prior to Mycobacterium tuberculosis infection reduces tissue CD4+ T cells with limited impact on bacterial clearance

FEBS Open Bio, EarlyView.
Time‐restricted feeding (TRF) in mice increased liver fatty acid oxidation and decreased fatty acid biosynthesis. These alterations persisted when TRF was discontinued and the host was infected with Mycobacterium tuberculosis. Pre‐exposure to TRF did not alter tissue (lung and spleen) mycobacterial burden but significantly reduced CD3+ T cells in lungs
Ashish Gupta, Nidhi Yadav, Subhasmita Das, R. Rajendra Kumar Reddy, Nupur Sharma, Amol Ratnakar Suryawanshi, Jaswinder Singh Maras, Ranjan Kumar Nanda   +7 more
wiley   +1 more source

Some invariant theorems on geometry of Einstein non-symmetric field theory

International Journal of Mathematics and Mathematical Sciences, 1983
This paper generalizes Einstein's theorem. It is shown that under the transformation TΛ:Uikℓ→U¯ikℓ≡Uikℓ+δiℓΛk−δkℓΛi, curvature tensor Skℓmi(U), Ricci tensor Sik(U), and scalar curvature S(U) are all invariant, where Λ=Λjdxj is a closed 1 ...
Liu Shu-Lin, Xu Sen-Lin
doaj   +1 more source

Renormalized entanglement entropy and curvature invariants

Journal of High Energy Physics, 2020
Renormalized entanglement entropy can be defined using the replica trick for any choice of renormalization scheme; renormalized entanglement entropy in holographic settings is expressed in terms of renormalized areas of extremal surfaces.
Marika Taylor, Linus Too
doaj   +1 more source

Cyclic azapeptide CD36 ligand attenuates cardiac injury and reduces long‐chain fatty acid accumulation after myocardial ischemia–reperfusion in mice

FEBS Open Bio, EarlyView.
In a murine model of myocardial ischemia and reperfusion (MI/R), the CD36 azapeptide ligand MPE‐298 reduces cardiac injury and transiently lowers left ventricular long‐chain fatty acids (LCFAs) accumulation 3 h after reperfusion, accompanied by a decrease of oxidative stress and inflammation‐associated genes' expression in the heart and adipose tissue.
Jade Gauvin, Naghme Radmannia, David N. Huynh, Liliane Ménard, Caroline Daneault, Maïté Veilleux, Ahsanullah Ahsanullah, André C. Carpentier, William D. Lubell, Matthieu Ruiz, Huy Ong, Sylvie Marleau, Simon‐Pierre Gravel   +12 more
wiley   +1 more source

Curvature Invariant and Generalized Canonical Operator Models – I [PDF]

Journal of Functional Analysis, 2012
Revised.
Douglas, Ronald G., Kim, Yun-Su, Kwon, Hyun-Kyoung, Sarkar, Jaydeb   +3 more
openaire   +3 more sources

Hydrostatic pressure activates HIF‐1α via β‐catenin to promote stemness in breast cancer cells

FEBS Open Bio, EarlyView.
To mimic the elevated intestinal fluid pressure in breast cancers, we loaded human breast cancer cells (MCF‐7, MDA‐MB‐453, and BT‐474) to 50 mmHg hydrostatic pressure. Hydrostatic pressure exposure upregulated HIF‐1α and induced stemness in MCF‐7 and BT‐474 cells.
Da Zhai, Yong Xu, Jingjing Ma, Ratchanee Duangrat, Chen Yan, Jingyan Liang, Hua Wei, Bin Jiang, Tao‐Sheng Li   +8 more
wiley   +1 more source