Results 61 to 70 of about 5,858,860 (191)
Submanifolds weakly associated with graphs [PDF]
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated with graphs. We prove that, in a local sense, every submanifold satisfies such an association, and other general results. Finally,
Rodríguez Hidalgo, Antonio +2 more
core +1 more source
Leaf of leaf foliation and Beltrami parametrization in d > 2 dimensional gravity
This work establishes the existence of a covariant “Beltrami vielbein” in dimensions d>2, generalizing the well-known d=2 case. The definition of this vielbein is motivated by a sub-foliation structure of the Arnowitt–Deser–Misner (ADM) slices of a d ...
Laurent Baulieu
doaj +1 more source
Simple homotopy theory for Fukaya categories
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
On Cauchy-Riemann submanifolds whose local geodesic symmetries preserve the fundamental form [PDF]
We classify generic Cauchy-Riemann submanifolds (of a Kaehlerian manifold) whose fundamental form is preserved by any local geodesic ...
Capursi, Mauro +4 more
core +1 more source
Symmetry‐Restricted Energy Landscapes as a Benchmark for Machine Learned Interatomic Potentials
We present a benchmark for assessing the physical accuracy of machine‐learned interatomic potentials. By constructing two‐dimensional potential energy surface slices along symmetry‐allowed degrees of freedom and comparing them with DFT, the benchmark reveals model strengths, weaknesses, and artifacts, providing an easily interpretable test of energy ...
Abhijith S. Parackal +2 more
wiley +1 more source
In this talk we consider two classes of submanifolds in Euclidean spaces that are characterized by simple local invariants. The first class consists of submanifolds with costant principal curvatures.
Thorbergsson, G.
core +1 more source
Connected subgroups of SO(2,n) acting irreducibly on R^{2,n} [PDF]
We classify all connected subgroups of SO(2, n) that act irreducibly on R^{2 ...
Antonio J. Di Scala +4 more
core +1 more source
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet +3 more
wiley +1 more source
Expected local topology of random complex submanifolds
Let n ≥ 2
openaire +2 more sources
The Legacy of Policy Inaction in Climate‐Growth Models
ABSTRACT To better understand the structure and core mechanisms of a broad class of climate‐growth models, we study a simplified version of the dynamic integrated model of climate and the economy (DICE) through the lens of growth theory. We analytically show that this model features a continuum of saddle‐point stable steady states.
Thomas Steger, Timo Trimborn
wiley +1 more source

