Results 21 to 30 of about 85,527 (236)
Nonrational hypersurfaces [PDF]
Journal of the American Mathematical Society, 1995 In this very interesting paper there are developed some general ideas to obtain examples of Fano varieties, non-rational and not even ruled. -- Complete proofs, here only sketched, will appear elsewhere. The results are valid for ``very general'' hypersurfaces, that is they hold for hypersurfaces corresponding to a point in the complement of countably ...
openaire +2 more sources
Extension of holomorphic maps between real hypersurfaces of different dimension [PDF]
, 2006 It is proved that the germ of a holomorphic map from a real analytic hypersurface M in C^n into a strictly pseudoconvex compact real algebraic hypersurface M' in C^N, 1 < n < N extends holomorphically along any path on ...
Shafikov, Rasul, Verma, Kaushal
core +4 more sources
Intrinsic Geometry of a Null Hypersurface [PDF]
, 2000 We apply Cartan's method of equivalence to construct invariants of a given null hypersurface in a Lorentzian space-time. This enables us to fully classify the internal geometry of such surfaces and hence solve the local equivalence problem for null ...
Ashtekar A +8 more
core +2 more sources
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
doaj +1 more source
Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
Advances in Mathematics, 2008 56 pages. v2: Some material added in section 1; minor changes.
CILIBERTO C, RUSSO, Francesco, SIMIS, A.
openaire +4 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
Compact Dupin hypersurfaces [PDF]
Notices of the International Congress of Chinese Mathematicians, 2021 29 pages.
openaire +2 more sources
An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
AIMS Mathematics, 2020 In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy.
Talat Körpinar, Yasin Ünlütürk
doaj +1 more source
Irreducibility of Hypersurfaces [PDF]
Communications in Algebra, 2009 Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to vary, then the polynomial is irreducible for all but at most deg(P)^2-1 values of the coefficient.
Bodin, Arnaud +2 more
openaire +2 more sources