Results 41 to 50 of about 562 (178)

Cohomology vanishing theorems for free boundary submanifolds

, 2022
In this paper, via a new Hardy type inequality, we establish some cohomology vanishing theorems for free boundary compact submanifolds $M^n$ with $n\geq2$ immersed in the Euclidean unit ball $\mathbb{B}^{n+k}$ under one of the pinching conditions $|\Phi|^
Ge, Jianquan, Chen, Niang
core   +1 more source

The relations among two transversal submanifolds and global manifold

, 1999
In Riemann geometry, the relations among two transversal submanifolds and global manifold are discussed. By replacing the normal vector of a submanifold with the tangent vector of another submanifold, the metric tensors, Christoffel symbols and curvature tensors of the three manifolds are linked together.
Yang, Guo-Hong, Ni, Guang-Jiong, Duan, Yi-Shi   +2 more
openaire   +2 more sources

Counting Degrees of Freedom: A Method Applicable From Scalars to f(Q)$f(\mathbb {Q})$ Gravity and Beyond

Fortschritte der Physik, Volume 74, Issue 6, June 2026.
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley   +1 more source

Holonomy and submanifold geometry [PDF]

, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
CONSOLE S, Console, S., Olmos, C., Di Scala, Antonio Jose', OLMOS C.   +4 more
core  

Global thermodynamic manifold for conservative control of stochastic systems

Physical Review Research
Optimal control of stochastic systems plays a central role in nonequilibrium physics, with applications in the study of biological molecular motors and the design of single-molecule experiments. While exact analytic solutions to optimization problems are
Jordan R. Sawchuk, David A. Sivak
doaj   +1 more source

On the tightness of left‐invariant contact structures

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley   +1 more source

Dirac Operators on Time Flat Submanifolds with Applications

, 2017
International audienceIn this paper, we study Dirac-type operators on time flat submanifolds in spacetimes satisfying the Einstein equations with non positive cosmological constant. We apply our results to obtain global rigidity results for n-dimensional
Hijazi, Oussama, Raulot, Simon, Oussama Hijazi, Sebastián Montiel, Montiel, Sebastián, Simon Raulot   +5 more
core   +1 more source

BOF steelmaking endpoint carbon content and temperature soft sensor model based on supervised weighted local structure preserving projection

High Temperature Materials and Processes
Endpoint control stands as a pivotal determinant of steel quality. However, the data derived from the BOF steelmaking process are characterized by high dimension, with intricate nonlinear relationships between variables and diverse working conditions ...
Su YunKe, Liu Hui, Chen FuGang, Liu JianXun, Li Heng, Xue XiaoJun   +5 more
doaj   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

Curvature estimate for the volume growth of globally minimal submanifolds

Mathematische Annalen, 1993
In this note we give an estimate in terms of upper curvature bounds for the volume growth of globally minimal submanifolds in Riemannian manifolds, new isoperimetric inequalities for these submanifolds, an explicit formula of the least volumes of closed submanifolds in symmetric spaces.
openaire   +1 more source