Results 41 to 50 of about 32,499 (242)
On the embeddability of real hypersurfaces into hyperquadrics [PDF]
Advances in Mathematics, 2018 In this paper, we provide {\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any $N >n \geq 1$, the defining functions $ (z,\bar z,u)$ of all real-analytic hypersurfaces $M=\{v= (z,\bar z,u)\}\subset\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally ...
Kossovskiy, Ilya, Xiao, Ming
openaire +2 more sources
A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms
Mathematics, 2020 The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form.
George Kaimakamis +2 more
doaj +1 more source
Formal biholomorphic maps of real analytic hypersurfaces
, 2000 Let f : (M,p)\to (M',p') be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in \C^n, p'=f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f ...
Mir, Nordine
core +4 more sources
Advanced Photonics Research, EarlyView.This article proposes a symmetry‐protected bound states in the continuum mechanism based on borophene metamaterials, achieving dual‐band broadband coherent perfect absorption (CPA) in the near‐infrared spectrum. By dynamically modulating carrier concentration, the operational bandwidth of CPA can be significantly expanded, effectively overcoming the ...
Xue‐Yan Wu +5 more
wiley +1 more source
The Shape Operator of Real Hypersurfaces in S6(1)
MathematicsThe 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
Open Mathematics, 2015 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
Extension of Levi-flat hypersurfaces past CR boundaries
, 2006 Local conditions on boundaries of $C^\infty$ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real ...
Lebl, Jiri
core +4 more sources
Addressing Sustainability Challenges in Peptide Synthesis with Flow Chemistry and Machine Learning
Chemistry – A European Journal, EarlyView.A synthetic protocol for polypeptides 6–58 residue long, using recyclable greener solvent mixture (Anisole/DMSO) was developed and compared to traditional SPPS methods and to state‐of‐the‐art synthesizers. Abstract The high cost and the large amount of toxic waste generated during peptide production overshadow the current technology, requiring the ...
Kristóf Ferentzi +2 more
wiley +1 more source
A New Class of Contact Pseudo Framed Manifolds with Applications
International Journal of Mathematics and Mathematical Sciences, 2021 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
Real Hypersurfaces of Type A in Complex Two-Plane Grassmannians Related to The Reeb Vector Field
, 2015 Y. J. Suh and H. Lee (Bull. Korean. Math. Soc. 47, 551-561 (2010)) characterized real hypersurfaces $M$ of type $B$ by the invariance of vector bundle $JTM^\perp$ under the shape operator and the orthogonality of $JTM^\perp$ and $\mathcal {J}TM^\perp ...
Lee, Ruenn-Huah, Loo, Tee-How
core +1 more source