Results 41 to 50 of about 462,161 (175)
On the Ambrosetti–Malchiodi–Ni conjecture for general submanifolds
Journal of Differential Equations, 2015 We study positive solutions of the following semilinear equation $$\varepsilon^2Δ_{\bar g} u - V(z) u+ u^{p} =0\,\hbox{ on }\,M, $$ where $(M, \bar g )$ is a compact smooth $n$-dimensional Riemannian manifold without boundary or the Euclidean space $\mathbb R^n$, $\varepsilon$ is a small positive parameter, $p>1$ and $V$ is a uniformly positive ...
Fethi Mahmoudi +2 more
openaire +6 more sources
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
wiley +1 more source
Analyticity of Smooth CR Mappings of Generic Submanifolds [PDF]
Asian Journal of Mathematics, 2007 We consider a smooth CR mapping $f$ from a real-analytic generic submanifold $M$ in $\bC^N$ into $\bC^N$. For $M$ of finite type and essentially finite at a point $p\in M$, and $f$ formally finite at $p$, we give a necessary and sufficient condition for $f$ to extend as a holomorphic mapping in some neighborhood of $p$. In a similar vein, we consider a
Ebenfelt, Peter, Rothschild, Linda P.
openaire +3 more sources
Leaf of leaf foliation and Beltrami parametrization in d > 2 dimensional gravity
Nuclear Physics BThis 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
Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley +1 more source
Differential geometry of generalized submanifolds [PDF]
Pacific Journal of Mathematics, 2000 The author presents two kinds of approach to study of submanifolds of Euclidean space of finite dimension: with the methods of geometric measure theory and with the standard tools of differential geometry, particularly, using the tangent space to the graph of the generalized Gauss map.
openaire +2 more sources
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.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
The Legacy of Policy Inaction in Climate‐Growth Models
International Economic Review, Volume 67, Issue 3, Page 915-935, August 2026.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
A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
European Physical Journal C: Particles and FieldsWe develop a unified dynamical systems framework for spatially flat FLRW cosmology in f(Q) gravity, covering all three connection branches using a single set of Hubble-normalised variables without fixing the function f(Q) a priori. This model-independent
Jibitesh Dutta +4 more
doaj +1 more source