Learning the Geometric Structure of Manifolds with Singularities Using the Tensor Voting Graph

2016 ◽  
Vol 57 (3) ◽  
pp. 402-422 ◽  
Author(s):  
Shay Deutsch ◽  
Gérard Medioni
2003 ◽  
Vol 50 (15-17) ◽  
pp. 2691-2704 ◽  
Author(s):  
M. Aichinger ◽  
S. A. Chin ◽  
E. Krotscheck ◽  
H. A. Schuessler

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
J. Gutowski ◽  
W. A. Sabra

Abstract We classify all supersymmetric solutions of minimal D = 4 gauged supergravity with (2) signature and a positive cosmological constant which admit exactly one Killing spinor. This classification produces a geometric structure which is more general than that found for previous classifications of N = 2 supersymmetric solutions of this theory. We illustrate how the N = 2 solutions which consist of a fibration over a 3-dimensional Lorentzian Gauduchon-Tod base space can be written in terms of this more generic geometric structure.


2012 ◽  
Vol 85 (20) ◽  
Author(s):  
Peng Wang ◽  
Han-Jie Zhang ◽  
Yan-Jun Li ◽  
Chun-Qi Sheng ◽  
Ying Shen ◽  
...  

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Francisco Javier García-Pacheco ◽  
Ramazan Kama ◽  
María del Carmen Listán-García

AbstractThis paper is on general methods of convergence and summability. We first present the general method of convergence described by free filters of $\mathbb{N} $ N and study the space of convergence associated with the filter. We notice that $c(X)$ c ( X ) is always a space of convergence associated with a filter (the Frechet filter); that if X is finite dimensional, then $\ell _{\infty }(X)$ ℓ ∞ ( X ) is a space of convergence associated with any free ultrafilter of $\mathbb{N} $ N ; and that if X is not complete, then $\ell _{\infty }(X)$ ℓ ∞ ( X ) is never the space of convergence associated with any free filter of $\mathbb{N} $ N . Afterwards, we define a new general method of convergence inspired by the Banach limit convergence, that is, described through operators of norm 1 which are an extension of the limit operator. We prove that $\ell _{\infty }(X)$ ℓ ∞ ( X ) is always a space of convergence through a certain class of such operators; that if X is reflexive and 1-injective, then $c(X)$ c ( X ) is a space of convergence through a certain class of such operators; and that if X is not complete, then $c(X)$ c ( X ) is never the space of convergence through any class of such operators. In the meantime, we study the geometric structure of the set $\mathcal{HB}(\lim ):= \{T\in \mathcal{B} (\ell _{\infty }(X),X): T|_{c(X)}= \lim \text{ and }\|T\|=1\}$ HB ( lim ) : = { T ∈ B ( ℓ ∞ ( X ) , X ) : T | c ( X ) = lim  and  ∥ T ∥ = 1 } and prove that $\mathcal{HB}(\lim )$ HB ( lim ) is a face of $\mathsf{B} _{\mathcal{L}_{X}^{0}}$ B L X 0 if X has the Bade property, where $\mathcal{L}_{X}^{0}:= \{ T\in \mathcal{B} (\ell _{\infty }(X),X): c_{0}(X) \subseteq \ker (T) \} $ L X 0 : = { T ∈ B ( ℓ ∞ ( X ) , X ) : c 0 ( X ) ⊆ ker ( T ) } . Finally, we study the multipliers associated with series for the above methods of convergence.


2020 ◽  
pp. 1-1
Author(s):  
Chupeng Lu ◽  
Xiren Jin ◽  
Shengjia Wang ◽  
Zihang Xiang ◽  
Cuiting Sun ◽  
...  
Keyword(s):  

2019 ◽  
Vol 43 (33) ◽  
pp. 13217-13224 ◽  
Author(s):  
Xieyi Huang ◽  
Peng Wang ◽  
Zhichao Zhang ◽  
Shaoning Zhang ◽  
Xianlong Du ◽  
...  

Thin-layer SiOx matrix anchored nickel catalysts with high specific surface area and a unique electronic/geometric structure were fabricated for efficient CO2 methanation.


Sign in / Sign up

Export Citation Format

Share Document