Results 21 to 30 of about 1,913,155 (139)

Modified Ricci flow on a principal bundle [PDF]

, 2008
textLet M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber.
Young, Andrea Nicole, 1979-
core  

∗-Ricci Tensor on α-Cosymplectic Manifolds

, 2022
In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
Inan Unal, D. G. Prakasha, M. R. Amruthalakshmi, Nasser Bin Turki   +3 more
core   +1 more source

Counting holomorphic connections with a prescribed Ricci tensor [PDF]

, 2023
How many holomorphic connections are there with a prescribed Ricci tensor? How many torsion-free holomorphic connections are there with a prescribed Ricci tensor?
Plaszczyk, Mariusz, Kurek, Jan, Mikulski, Włodzimierz   +2 more
core   +1 more source

Isometric immersions into three‐dimensional unimodular metric Lie groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro, José M. Manzano, José S. Santiago   +2 more
wiley   +1 more source

A study on generalized Einstein tensor for an almost pseudo-ricci symmetric manifold

, 2022
The object of the paper is to study the generalized Einstein tensor G(X,Y) on almost pseudo-Ricci symmetric manifolds, A(PRS)n. Considering the generalized Einstein tensor G(X,Y) as conservative, cyclic parallel and Codazzi type, it is investigated the ...
YILMAZ, HÜLYA
core  

Weakly B-Symmetric Warped Product Manifolds with Applications

Axioms
This work presents a comprehensive study of weakly B-symmetric warped product manifolds (WBS)n, a natural extension of several classical curvature-restricted geometries including B-flat, B-parallel, and B-recurrent manifolds.
Bang-Yen Chen, Sameh Shenawy, Uday Chand De, Safaa Ahmed, Hanan Alohali   +4 more
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Maternal and infant gut microbiome

iMeta, Volume 5, Issue 4, August 2026.
The maternal–infant continuum involves critical windows of host–microbiota co‐adaptation. Preconception, maternal and paternal microbiomes modulate immunity and reproduction. During pregnancy, a gut–placenta axis emerges, where microbial metabolites influence fetal growth or contribute to complications like gestational diabetes mellitus (GDM ...
Huidi Wang, Felicia Tin, Hui Chen, Fuxin Jiao, Min Wu, Shanshan Sun, Lisha Lin, Die Li, Huimin Zheng, Zhenxin Niu, Mengyao Lan, Bahtiyar Yilmaz, Johan G. Eriksson, Mengjia Wang, Andrew Macpherson, Jose C. Clemente, Jia Xu, Ri‐hua Xie, Xiaojiao Zheng, Tao Zhou, Jinfeng Wang, Wei Shen, Bing Huang, Xia Chen, Hai Li, Yan He   +25 more
wiley   +1 more source

L-optimal transportation for Ricci flow [PDF]

, 2009
We introduce the notion of L-optimal transportation, and use it to construct a natural monotonic quantity for Ricci flow which includes a selection of other monotonicity results, including some key discoveries of Perelman [13] (both related to entropy ...
Topping, Peter
core   +1 more source

ETA-RICCI SOLITONS ON LORENTZIAN PARA-KENMOTSU MANIFOLDS

, 2021
The objective of present research article is to investigate the geometric properties of $\eta$-Ricci solitons on Lorentzian para-Kenmotsu manifolds. In this manner, we consider $\eta$-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying $R ...
Singh, Abhishek, Pandey, Shashikant, Mishra, Vishnu Narayan   +2 more
core   +3 more sources