Smoothing 3-dimensional polyhedral spaces

Nina Lebedeva; Vladimir Matveev; Anton Petrunin; Vsevolod Shevchishin

doi:10.3934/era.2015.22.12

Smoothing 3-dimensional polyhedral spaces

Nina Lebedeva
, Vladimir Matveev
, Anton Petrunin
, Vsevolod Shevchishin

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.

Original language	English (US)
Pages (from-to)	12-19
Number of pages	8
Journal	Electronic Research Announcements in Mathematical Sciences
Volume	22
DOIs	https://doi.org/10.3934/era.2015.22.12
State	Published - Jul 22 2015

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.3934/era.2015.22.12

Cite this

@article{f62a6595959b4e8cbcc62859824b744d,

title = "Smoothing 3-dimensional polyhedral spaces",

abstract = "We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.",

author = "Nina Lebedeva and Vladimir Matveev and Anton Petrunin and Vsevolod Shevchishin",

note = "Publisher Copyright: {\textcopyright} 2015, American Institute of Mathematical Sciences.",

year = "2015",

month = jul,

day = "22",

doi = "10.3934/era.2015.22.12",

language = "English (US)",

volume = "22",

pages = "12--19",

journal = "Electronic Research Announcements in Mathematical Sciences",

issn = "1935-9179",

publisher = "American Mathematical Society",

}

TY - JOUR

T1 - Smoothing 3-dimensional polyhedral spaces

AU - Lebedeva, Nina

AU - Matveev, Vladimir

AU - Petrunin, Anton

AU - Shevchishin, Vsevolod

PY - 2015/7/22

Y1 - 2015/7/22

N2 - We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.

AB - We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.

UR - https://www.scopus.com/pages/publications/84937418181

UR - https://www.scopus.com/pages/publications/84937418181#tab=citedBy

U2 - 10.3934/era.2015.22.12

DO - 10.3934/era.2015.22.12

M3 - Article

AN - SCOPUS:84937418181

SN - 1935-9179

VL - 22

SP - 12

EP - 19

JO - Electronic Research Announcements in Mathematical Sciences

JF - Electronic Research Announcements in Mathematical Sciences

ER -

Smoothing 3-dimensional polyhedral spaces

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this