Results 21 to 30 of about 84,048 (226)

Extension of holomorphic maps between real hypersurfaces of different dimension [PDF]

open access: yes, 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

Wild hypersurfaces

open access: yesJournal of Pure and Applied Algebra, 2011
Complete hypersurfaces of dimension at least 2 and multiplicity at least 4 have wild Cohen-Macaulay type.
Crabbe, Andrew, Leuschke, Graham J.
openaire   +2 more sources

Factorial Hypersurfaces [PDF]

open access: yesProceedings of the Steklov Institute of Mathematics, 2017
18 pages.
openaire   +4 more sources

Intrinsic Geometry of a Null Hypersurface [PDF]

open access: yes, 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

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

On endomorphisms of hypersurfaces [PDF]

open access: yesKodai Mathematical Journal, 2017
For any prime $p\ge 5$, we show that generic hypersurface $X_p\subset\mathbb{P}^p$ defined over $\mathbb{Q}$ admits a non-trivial rational dominant self-map of degree $>1$, defined over $\bar{\mathbb{Q}}$. A simple arithmetic application of this fact is also given.
openaire   +4 more sources

Normalization of Norden — Chakmazyan for distributions given on a hypersurface

open access: yesДифференциальная геометрия многообразий фигур, 2020
In the projective space, we continue to study a hypersurface with three strongly mutual distributions. For equipping distributions of a hypersurface, normalization in the sense of Norden — Chakmazyan is introduced internally.
N.A. Eliseeva
doaj   +1 more source

Nonrational hypersurfaces [PDF]

open access: yesJournal 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

A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator

open access: yesAIMS 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

The conjugate of a hypersurface

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1998
The present paper is devoted to the study of conjugate reflectors in the \(n\)-dimensional Euclidean space \(E^n\). The authors follow, word by word, Paragraphs 3 and 4 of a paper by the reviewer and \textit{D. Koutroufiotis} [J. Geom. 24, 131-167 (1985; Zbl 0578.53002)], for reflectors in three-dimensional Euclidean space \(E^3\).
S. Keleş, E Kiliç
openaire   +3 more sources

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