Results 11 to 20 of about 729 (179)

Filling Real Hypersurfaces by Pseudoholomorphic Discs [PDF]

Journal of Geometric Analysis, 2008
We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold. We give sufficient conditions for filling a one sided neighborhood of the hypersurface by the discs.
Sukhov, Alexandre, Tumanov, Alexander
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The Nonimbeddability of Real Hypersurfaces in Spheres [PDF]

Proceedings of the American Mathematical Society, 1988
It is shown that there exist real analytic real hypersurfaces in C
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A Class of Special Hypersurfaces in Real Space Forms

Journal of Function Spaces, 2016
We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms Rn+1, Sn+1, and Hn+1 is isoparametric if it has constant principal curvatures.
Yan Zhao, Ximin Liu
doaj   +1 more source

On pseudo-Einstein real hypersurfaces [PDF]

Advances in Geometry, 2019
Abstract Let M be a real hypersurface of a complex space form Mn (c) with c ≠ 0 and n ≥ 3. We show that the Ricci tensor S of M satisfies S(X, Y) = ag(X, Y) for all vector fields X and Y on the holomorphic distribution, a being a constant, if and only if M is a pseudo-Einstein real hypersurface.
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Computing the real isolated points of an algebraic hypersurface [PDF]

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020
Let $\mathbb{R}$ be the field of real numbers. We consider the problem of computing the real isolated points of a real algebraic set in $\mathbb{R}^n$ given as the vanishing set of a polynomial system. This problem plays an important role for studying rigidity properties of mechanism in material designs.
Le, Huu Phuoc, Safey El Din, Mohab, de Wolff, Timo   +2 more
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Some New Results on Trans-Sasakian Manifolds

Journal of Mathematics, 2022
In this paper, we classify trans-Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans-Sasakian manifolds whose Reeb vector fields are harmonic-Killing.
Lei Wang, Yan Zhao
doaj   +1 more source

Real Hypersurfaces of Nonflat Complex Projective Planes Whose Jacobi Structure Operator Satisfies a Generalized Commutative Condition

International Journal of Mathematics and Mathematical Sciences, 2016
Real hypersurfaces satisfying the condition ϕl=lϕ(l=R(·,ξ)ξ) have been studied by many authors under at least one more condition, since the class of these hypersurfaces is quite tough to be classified.
Theocharis Theofanidis
doaj   +1 more source

Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S⁶(1)

Mathematics, 2022
It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler. If M is a hypersurface of an almost Hermitian manifold with a unit normal vector field N, the tangent vector field ξ=−JN is said to be characteristic or ...
Miroslava Antić, Djordje Kocić
doaj   +1 more source

Homogeneous real hypersurfaces [PDF]

Mathematical Research Letters, 1995
Let \(M\) be an analytic real hypersurface through the origin in \(\mathbb{C}^n\). The hypersurface \(M\) is called weighted homogeneous if it is locally equivalent, via a biholomorphic map which preserves the origin, to a hypersurface given by an equation of the form \(P(z, \overline z) = 0\), where \(P\) is a polynomial which is homogeneous with ...
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On Irreducible Components of Real Exponential Hypersurfaces [PDF]

Arnold Mathematical Journal, 2017
Some minor changes.
Vorobjov, Nicolai, Riener, Cordian
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