Results 41 to 50 of about 1,685 (212)

Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
doaj   +1 more source

On the Ricci tensor of real hypersurfaces of quaternionic projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
doaj   +1 more source

Hypersurfaces in the general inner product spaces [PDF]

open access: yesJournal of Hyperstructures, 2017
Let A be a symmetric positive definite (n+ 1)×(n+ 1) real matrix for n ≥ 1 and S ∈ R n+1 be a hypersurface. We are supposed to determine the tangent space TpS in an arbitrary point p ∈ S in the case that the whole space R n+1 admits the inner product ...
Ali Parsian
doaj   +1 more source

On the embeddability of real hypersurfaces into hyperquadrics [PDF]

open access: yesAdvances 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 $φ(z,\bar z,u)$ of all real-analytic hypersurfaces $M=\{v=φ(z,\bar z,u)\}\subset\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally ...
Kossovskiy, Ilya, Xiao, Ming
openaire   +2 more sources

On the structure vector field of a real hypersurface in complex quadric

open access: yesOpen Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

Real hypersurfaces in a complex projective space with pseudo-${\mathbb D}$-parallel structure Jacobi operator

open access: yes, 1998
summary:We introduce the new notion of pseudo-$\mathbb D $-parallel real hypersurfaces in a complex projective space as real hypersurfaces satisfying a condition about the covariant derivative of the structure Jacobi operator in any direction of the ...
Pérez, Juan de Dios   +6 more
core   +1 more source

On real hypersurfaces in quaternionic projective space with 𝒟⊥-recurrent second fundamental tensor

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
doaj   +1 more source

A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms

open access: yesMathematics, 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

A New Class of Contact Pseudo Framed Manifolds with Applications

open access: yesInternational 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

Planarized and Twisted Intramolecular Charge Transfer: Small Geometric, Huge Photophysical Changes

open access: yesEuropean Journal of Organic Chemistry, EarlyView.
Molecular motion governs excited state relaxation in aminobenzonitrile donor–acceptor systems. Small structural modifications control single and dual rotations and enable distinct relaxation pathways. Fluorescence spectroscopy, Lippert–Mataga analysis, and theoretical calculations identify multiple excited states, including a dual‐emitting planarized ...
Zoe Nonie Scheller   +2 more
wiley   +1 more source

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