Results 21 to 30 of about 4,560,118 (257)
On Irreducible Components of Real Exponential Hypersurfaces [PDF]
Arnold Mathematical Journal, 2017 Some minor changes.
Nicolai Vorobjov +2 more
openaire +3 more sources
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.
Alexander Tumanov, Alexandre Sukhov
openaire +3 more sources
AIMS Mathematics, 2021 In this paper, it is proved that if a non-Hopf real hypersurface in a nonflat complex space form of complex dimension two satisfies Ki and Suh's condition (J. Korean Math. Soc., 32 (1995), 161–170), then it is locally congruent to a ruled hypersurface or
Wenjie Wang
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.
openaire +3 more sources
Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification [PDF]
, 2019 In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the ...
Finashin, Sergey, Kharlamov, Viatcheslav
core +3 more sources
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
Real hypersurfaces in Kähler manifolds [PDF]
Asian Journal of Mathematics, 2001 Building on work by S. M. Webster \ref[J. Differential Geom. 13 (1978), no. 1, 25--41; MR0520599 (80e:32015)] the author studies the geometry of the second fundamental form of a real hypersurface in a Kahler manifold. As an application he proves that a compact strictly pseudoconvex hypersurface $M\subsetC^n$ is isometric to a sphere provided that $M ...
openaire +2 more sources
On the Transformation Group of a Real Hypersurface [PDF]
Transactions of the American Mathematical Society, 1977 The group of biholomorphic transformations leaving fixed a strongly pseudoconvex real hypersurface in a complex manifold is a Lie group. In this paper it is shown that the Chern-Moser invariants must vanish if this group is noncompact and the hypersurface is compact.
openaire +2 more sources
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 +2 more
openaire +5 more sources
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