Results 11 to 20 of about 58,799 (221)

Integrable Background Geometries [PDF]

, 2014
This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
core   +4 more sources

On membrane interactions and a three-dimensional analog of Riemann surfaces [PDF]

, 2015
Membranes in M-theory are expected to interact via splitting and joining processes. We study these effects in the pp-wave matrix model, in which they are associated with transitions between states in sectors built on vacua with different numbers of ...
Kovacs, Stefano, Sato, Yuki, Shimada, Hidehiko   +2 more
core   +3 more sources

Isotopic tiling theory for hyperbolic surfaces [PDF]

, 2020
In this paper, we develop the mathematical tools needed to explore isotopy classes of tilings on hyperbolic surfaces of finite genus, possibly nonorientable, with boundary, and punctured.
Evans, Myfanwy E., Kolbe, Benedikt
core   +3 more sources

Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces [PDF]

, 2009
In this paper we establish new Calabi-Bernstein results for maximal surfaces immersed into a Lorentzian product space of the form $M^2\times\mathbb{R}_1$, where $M^2$ is a connected Riemannian surface and $M^2\times\mathbb{R}_1$ is endowed with the ...
Albujer, Alma L., Alias, Luis J.
core   +4 more sources

Moduli spaces of meromorphic functions and determinant of Laplacian [PDF]

, 2014
The Hurwitz space is the moduli space of pairs $(X,f)$ where $X$ is a compact Riemann surface and $f$ is a meromorphic function on $X$. We study the Laplace operator $\Delta^{|df|^2}$ of the flat singular Riemannian manifold $(X,|df|^2)$.
L. Hillairet, Victor Kalvin, A. Kokotov
semanticscholar   +1 more source

The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space

AIMS Mathematics, 2022
In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space.
Yanlin Li, K. Eren, K. H. Ayvaci, S. Ersoy   +3 more
semanticscholar   +1 more source

Minimality of planes in normed spaces

, 2012
We prove that a region in a two-dimensional affine subspace of a normed space $V$ has the least 2-dimensional Hausdorff measure among all compact surfaces with the same boundary.
A.C. Thompson, D. Burago, D. Burago, Dmitri Burago, F.J. Almgren Jr., H. Busemann, H. Busemann, H. Busemann, H. Busemann, H. Busemann, M. Gromov, R.D. Holmes, Sergei Ivanov   +12 more
core   +1 more source

Geometric entropy, area, and strong subadditivity

, 2004
The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a density matrix with non zero entropy. This geometric entropy is believed to be deeply related to the entropy of black holes.
Araki H, Barbón J L F, Bekenstein J D, Bekenstein J D, Bombelli L, Bousso R, Brustein R Oaknin D H Yarom A, Brustein R Yarom A, Brustein R Yarom A, Casini H, Casini H, Casini H, Casini H Huerta M, Cegla W, Cegla W Florek J, Demers J D, Dowker J S, Flanagan E E, Frolov V, Gibbons G W, H Casini, Haag R, Hawking S W, Hotta M, Jacobson T, Lieb E H, Oaknin D H, Robinson D W, See also Mukohyama S, Solodukhin S N, Strominger A Thompson D, Susskind L, Wald R M, Wehrl A   +33 more
core   +4 more sources

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

Advanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul, Archith Rayabharam, Lisa Almonte, Eveline Rigo, Joshy Joseph, Ashutosh Kumar, Zhuxin Dong, Narayana Aluru, Gregory Timp   +8 more
wiley   +1 more source

Intertwined Hamiltonians in Two Dimensional Curved Spaces

, 2004
The problem of intertwined Hamiltonians in two dimensional curved spaces is investigated. Explicit results are obtained for Euclidean plane,Minkowski plane, Poincar{\' e} half plane ($AdS_2$), de Sitter Plane ($dS_2$), sphere, and torus. It is shown that
Aghababaei Samani, Aghababaei Samani, Bakalov, Balazs, Cariñena, Cooper, Demircioğlu, Dobrev, Gutzwillwer, Kalnins, Keivan Aghababaei Samani, Kuru, Mateev, Milanoviv, Mina Zarei, Mostafazadeh   +15 more
core   +2 more sources