Results 41 to 50 of about 1,722 (224)
Substituting molecular dynamics simulations by a neural network surrogate model to speed up multiscale force‐field parameter optimization and increase knowledge about the optimization objective. Molecular modeling plays a vital role in many scientific fields, ranging from material science to drug design.
Robin Strickstrock+3 more
wiley +1 more source
The Shape Operator of Real Hypersurfaces in S6(1)
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additionally,
Djordje Kocić, Miroslava Antić
doaj +1 more source
Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.
de Dios Pérez Juan+2 more
doaj +1 more source
The present work, entitled: Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence by Fabiano F. Santos, is presented as an investigation of the black hole interior using the Holographic Entanglement Entropy (HEE) and AdS/BCFT Correspondence.
Fabiano F. Santos
wiley +1 more source
Quasi-Einstein Hypersurfaces of Complex Space Forms
Based on a well-known fact that there are no Einstein hypersurfaces in a nonflat complex space form, in this article, we study the quasi-Einstein condition, which is a generalization of an Einstein metric, on the real hypersurface of a nonflat complex ...
Xuehui Cui, Xiaomin Chen
doaj +1 more source
A New Class of Contact Pseudo Framed Manifolds with Applications
In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
doaj +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Arithmetic sparsity in mixed Hodge settings
Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
wiley +1 more source
Fat equator effect and minimality in immersions and submersions of the sphere
Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley +1 more source
A note on the magnetic Steklov operator on functions
Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar+3 more
wiley +1 more source