Zobrazeno 1 - 10
of 705
pro vyhledávání: '"Sampaio, José A."'
We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded H\"older triangles in $\mathbb{R}^4$. In contrast to the case of $\mathbb{R}^3$ there are infinitely many equivalence classes. The equivalence classes are related to the s
Externí odkaz:
http://arxiv.org/abs/2410.09532
The Moderately Discontinuous Homology (MD-Homology, for short) was created recently in 2022 by Fern\'andez de Bobadilla at al. and it captures deep Lipschitz phenomena. However, to become a definitive powerful tool, it must be widely comprehended. In
Externí odkaz:
http://arxiv.org/abs/2408.00851
In this paper, we address one of the most basic and fundamental problems in the theory of foliations and ODEs, the topological invariance of the algebraic multiplicity of a holomorphic foliation. For instance, we prove an adapted version of A'Campo-L
Externí odkaz:
http://arxiv.org/abs/2407.09306
For a foliation by CMC hypersurfaces on a complete Riemannian manifold $M^{n+1}$ with sectional curvature bounded from below by $-nK_0\leq 0$ and such that the mean curvature $H$ of the leaves of the foliation satisfies $|H|\geq \sqrt{K_0}$, under ce
Externí odkaz:
http://arxiv.org/abs/2404.13772
Autor:
Sampaio, José Edson
In this paper, we prove metric analogues, in any dimension and in any co-dimension, of the famous Theorem of Mumford on smoothness of normal surfaces and the beautiful Theorem of Ramanujam that gives a topological characterization of $\mathbb{C}^2$ a
Externí odkaz:
http://arxiv.org/abs/2404.06943
We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at $0$. Moreover we show that if two algebraic $(n-1)$-dimensional cones $P, R\subset\mathbb C^n$ with isolated singularities are homeomorphic, then th
Externí odkaz:
http://arxiv.org/abs/2404.06922
In this article, we show the H\"older invariance of the Henry-Parusinski invariant. For a single germ $ f$, the Henry-Parusinski invariant of $ f $ is given in terms of the leading coefficients of the asymptotic expansion of $ f $ along the branches
Externí odkaz:
http://arxiv.org/abs/2402.08301
In this paper, we prove the following version of the famous Bernstein's theorem: Let $X\subset \mathbb R^{n+k}$ be a closed and connected set with Hausdorff dimension $n$. Assume that $X$ satisfies the monotonicity formula at $p\in X$. Then, the foll
Externí odkaz:
http://arxiv.org/abs/2312.01141
We show that for every $k\ge 3$ there exist complex algebraic cones of dimension $k$ with isolated singularities, which are bi-Lipschitz and semi-algebraically equivalent but they have different degrees. We also prove that homeomorphic projective hyp
Externí odkaz:
http://arxiv.org/abs/2309.07078
Autor:
Sampaio, José Edson
In this article, we prove that for a definable set in an o-minimal structure with connected link (at 0 or infinity), the inner distance of the link is equivalent to the inner distance of the set restricted to the link. With this result, we obtain sev
Externí odkaz:
http://arxiv.org/abs/2305.11830