Results 41 to 50 of about 1,727 (223)

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

Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

open access: yesMathematics, 2023
Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
doaj   +1 more source

Real hypersurfaces of type A in quarternionic projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki   +2 more
doaj   +1 more source

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

Characterizing Spheres in ℂ2 by Their Levi Curvature: A Result à la Jellett

open access: yesBruno Pini Mathematical Analysis Seminar, 2017
We investigate rigidity problems for a class of real hypersurfaces in ℂ2 with constant Levi curvature. We present a recent result obtained in A Jellett type theorem for the Levi curvature (2017) in collaboration with V.
Giulio Tralli
doaj   +1 more source

A Note on the Complexity of Real Algebraic Hypersurfaces [PDF]

open access: yesGraphs and Combinatorics, 2011
This paper deals with the complexity of the computation of simplicial complexes in \(\mathbb{R}^d\) which are isotopic to real algebraic hypersurfaces in \(\mathbb{R}^d\). The author shows that in the case of curves in \(\mathbb{R}^d\), any stable isocomplex (i.e.
Michael Kerber, Michael Sagraloff
openaire   +2 more sources

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

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

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

COMPLEX SUBMANIFOLDS IN REAL HYPERSURFACES [PDF]

open access: yesJournal of the Korean Mathematical Society, 2010
Let M be a C 1 real hypersurface in C n+1 , n ‚ 1, locally given as the zero locus of a C 1 real valued function r that is defined on a neighborhood of the reference point P 2 M. For each k = 1,...,n we present a necessary and sucient condition for there to exist a complex manifold of dimension k through P that is contained in M, assuming the Levi form
Chong-Kyu Han, Giuseppe Tomassini
openaire   +2 more sources

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