Results 31 to 40 of about 1,685 (212)
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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Real hypersurfaces in complex space forms concerned with the local symmetry [PDF]
, 2007 summary:This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface $M$ in complex space form $M_m(4\epsilon )$.
Pérez, Juan de Dios +4 more
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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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Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator [PDF]
, 2015 summary:We study the classifying problem of immersed submanifolds in Hermitian symmetric spaces. Typically in this paper, we deal with real hypersurfaces in a complex two-plane Grassmannian $G_2({\mathbb C}^{m+2})$ which has a remarkable geometric ...
Pak, Eunmi +3 more
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Non-embeddable real algebraic hypersurfaces [PDF]
Mathematische Zeitschrift, 2013 We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.
Huang, Xiaojun, Zaitsev, Dmitri
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Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators [PDF]
, 2017 summary:We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians ${\rm SU}_{2,m}/S(U_{2}{\cdot }U_{m})$ with commuting conditions between the restricted normal Jacobi operator $\overline {R}_{N}\phi $ and the ...
Pak, Eunmi +2 more
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Real hypersurfaces of indefinite Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1993 We show the existence of ( ϵ )-almost contact metric structures and give examples of ( ϵ )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field.
A. Bejancu, K. L. Duggal
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On the behavior of strictly plurisubharmonic functions near real hypersurfaces [PDF]
, 2007 We describe the behavior of certain strictly plurisubharmonic functions near some real hypersurfaces in ℂ n , n≥3. Given a hypersurface we study continuous plurisubharmonic functions which are zero on the hypersurface and have Monge–Ampère mass greater ...
Ivarsson, Björn +2 more
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Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds
Mathematics, 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
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Real hypersurfaces of type A in quarternionic projective space
International 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
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