1,721,383 research outputs found
Michael-Simon Sobolev inequalities in Euclidean space
Full text linkInspired by [1, 13], we prove Michael-Simon type inequalities for smooth
symmetric uniformly positive define (0, 2)-tensor fields on compact
submanifolds in Euclidean space by the Alexandrov-Bakelman-Pucci (ABP) method.Comment: 10 page
Proof of the Michael-Simon-Sobolev inequality using optimal transport
Full text linkWe give an alternative proof of the Michael-Simon-Sobolev inequality using
techniques from optimal transport. The inequality is sharp for submanifolds of
codimension .Comment: Final version, to appear in J. Reine Angew. Mat
Optimal Transport Approach to Michael-Simon-Sobolev Inequalities in Manifolds with Intermediate Ricci Curvature Lower Bounds
Full text linkWe generalize McCann's theorem of optimal transport to a submanifold setting
and prove Michael-Simon-Sobolev inequalities for submanifolds in manifolds with
lower bounds on intermediate Ricci curvatures. The results include a variant of
the sharp Michael-Simon-Sobolev inequality in S. Brendle's work
arXiv:2009.13717 when the intermediate Ricci curvatures are nonnegative.Comment: 26 pages. Minor changes and references added. Final versio
Locally constrained flows and sharp Michael-Simon inequalities in hyperbolic space
Full text linkIn the present paper, we first investigate a new locally constrained mean
curvature flow (1.9) for starshaped hypersurfaces in hyperbolic space Hn+1 and
prove its longtime existence, exponential convergence. As an application, we
establish a new sharp Michael-Simon inequality for mean curvature in Hn+1. In
the second part of this paper, we use a locally constrained inverse curvature
flow (1.11) in Hn+1, which was introduced by Scheuer and Xia [30] to establish
a new sharp Michael-Simon inequality for k-th mean curvatures of starshaped and
strictly k-convex domain.Comment: 22 page
The effects of vehicle station keeping and end effector disturbance compensation on neutral buoyancy teleoperation
Full text linkThesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1993.Includes bibliographical references (leaf 74).by Michael Simon ValdezM.S
Michael-Simon type inequalities in hyperbolic space via Brendle-Guan-Li's flows
Full text linkIn the present paper, we first establish and verify a new sharp hyperbolic
version of the Michael-Simon inequality for mean curvatures in hyperbolic space
based on the locally constrained inverse curvature flow
introduced by Brendle, Guan and Li, provided that is -convex and is
a positive smooth function, where . In particular,
when is of constant, (0.1) coincides with the Minkowski type inequality
stated by Brendle, Hung, and Wang. Further, we also establish and confirm a new
sharp Michael-Simon inequality for the -th mean curvatures in
by virtue of the Brendle-Guan-Li's flow, provided that
is -convex and is the domain enclosed by . In particular, when
is of constant and is odd, (0.2) is exactly the weighted
Alexandrov-Fenchel inequalities proven by Hu, Li, and Wei.Comment: 14 page
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
A fractional Michael-Simon Sobolev inequality on convex hypersurfaces
Full text linkThe classical Michael-Simon and Allard inequality is a Sobolev inequality for functions defined on a submanifold of Euclidean space. It is governed by a universal constant independent of the manifold, thanks to an additional term on the righthand side which is weighted by the mean curvature of the underlying manifold. We prove here a fractional version of this inequality on hypersurfaces of Euclidean space that are boundaries of convex sets. It involves the Gagliardo seminorm of the function, as well as its norm weighted by the fractional mean curvature of the hypersurface. As an application, we establish a new upper bound for the maximal time of existence in the smooth fractional mean curvature flow of a convex set. The bound depends on the perimeter of the initial set instead of on its diameter
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
- …
