Results 41 to 50 of about 1,685 (212)
Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
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
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Hypersurfaces in the general inner product spaces [PDF]
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
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On the embeddability of real hypersurfaces into hyperquadrics [PDF]
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
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
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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
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
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A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms
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
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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
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Planarized and Twisted Intramolecular Charge Transfer: Small Geometric, Huge Photophysical Changes
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

