Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Sánchez Bringas, Federico"'
We describe the $\nu$-lines of curvature of an embedding of the double torus into $\mathbb R^4$, defined as the link of the real part of the Milnor fibration of a polynomial, where $\nu$ is its gradient. Through this analysis, we present a complete d
Externí odkaz:
http://arxiv.org/abs/1902.01548
Publikováno v:
In Differential Geometry and its Applications December 2022 85
Akademický článek
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The interaction between combinatorics and algebraic and differential geometry is very strong. While researching a problem of Hessian topology, we came across a series of identities of binomial coefficients, which are useful for proving a topological
Externí odkaz:
http://arxiv.org/abs/1611.08226
We study the second order invariants of a Lorentzian surface in $\mathbb{R}^{2,2},$ and the curvature hyperbolas associated to its second fundamental form. Besides the four natural invariants, new invariants appear in some degenerate situations. We t
Externí odkaz:
http://arxiv.org/abs/1503.06225
The Hessian Topology is a subject with interesting relations with some classical problems of analysis and geometry. In this article we prove a conjecture on this subject stated by V.I. Arnold concerning the number of connected components of hyperboli
Externí odkaz:
http://arxiv.org/abs/1301.2364
Publikováno v:
In Discrete Mathematics March 2019 342(3):615-622
We first describe the numerical invariants attached to the second fundamental form of a spacelike surface in four-dimensional Minkowski space. We then study the configuration of the nu-principal curvature lines on a spacelike surface, when the normal
Externí odkaz:
http://arxiv.org/abs/0905.2750
Publikováno v:
In Topology and its Applications 2012 159(2):405-413
Publikováno v:
Publicacions Matemàtiques, 1997 Jan 01. 41(1), 169-179.
Externí odkaz:
https://www.jstor.org/stable/43736578