Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963780497> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2963780497 endingPage "651" @default.
- W2963780497 startingPage "629" @default.
- W2963780497 abstract "We provide a classification of compact Euclidean submanifolds $M^nsubset{mathbb{R}}^{n+2}$ with nonnegative sectional curvature, for $nge 3$. The classification is in terms of the induced metric (including the diffeomorphism classification of the manifold), and we study the structure of the immersions as well. In particular, we provide the first known example of a nonorientable quotient $({mathbb{S}}^{n-1}times{mathbb{S}}^1)/{mathbb{Z}_2}subset{mathbb{R}}^{n+2}$ with nonnegative curvature. For the 3-dimensional case, we show that either the universal cover is isometric to ${mathbb{S}}^2times{mathbb{R}}$, or $M^3$ is diffeomorphic to a lens space, and the complement of the (nonempty) set of flat points is isometric to a twisted cylinder $(N^2times{mathbb{R}})/{mathbb{Z}}$. As a consequence we conclude that, if the set of flat points is not too big, there exists a unique flat totally geodesic surface in $M^3$ whose complement is the union of one or two twisted cylinders over disks." @default.
- W2963780497 created "2019-07-30" @default.
- W2963780497 creator A5024217334 @default.
- W2963780497 creator A5079446351 @default.
- W2963780497 date "2016-01-01" @default.
- W2963780497 modified "2023-10-16" @default.
- W2963780497 title "Nonnegatively curved Euclidean submanifolds in codimension two" @default.
- W2963780497 cites W1494150445 @default.
- W2963780497 cites W1508312567 @default.
- W2963780497 cites W1523900038 @default.
- W2963780497 cites W1550290513 @default.
- W2963780497 cites W1964697829 @default.
- W2963780497 cites W1965912699 @default.
- W2963780497 cites W1965979648 @default.
- W2963780497 cites W2024908347 @default.
- W2963780497 cites W2029134475 @default.
- W2963780497 cites W2037429676 @default.
- W2963780497 cites W2038475193 @default.
- W2963780497 cites W2067638626 @default.
- W2963780497 cites W2324894691 @default.
- W2963780497 cites W2329482865 @default.
- W2963780497 cites W2911678769 @default.
- W2963780497 cites W2963366462 @default.
- W2963780497 doi "https://doi.org/10.4171/cmh/398" @default.
- W2963780497 hasPublicationYear "2016" @default.
- W2963780497 type Work @default.
- W2963780497 sameAs 2963780497 @default.
- W2963780497 citedByCount "5" @default.
- W2963780497 countsByYear W29637804972016 @default.
- W2963780497 countsByYear W29637804972017 @default.
- W2963780497 countsByYear W29637804972019 @default.
- W2963780497 countsByYear W29637804972021 @default.
- W2963780497 countsByYear W29637804972022 @default.
- W2963780497 crossrefType "journal-article" @default.
- W2963780497 hasAuthorship W2963780497A5024217334 @default.
- W2963780497 hasAuthorship W2963780497A5079446351 @default.
- W2963780497 hasBestOaLocation W29637804972 @default.
- W2963780497 hasConcept C129782007 @default.
- W2963780497 hasConcept C202444582 @default.
- W2963780497 hasConcept C2524010 @default.
- W2963780497 hasConcept C33923547 @default.
- W2963780497 hasConcept C83979697 @default.
- W2963780497 hasConceptScore W2963780497C129782007 @default.
- W2963780497 hasConceptScore W2963780497C202444582 @default.
- W2963780497 hasConceptScore W2963780497C2524010 @default.
- W2963780497 hasConceptScore W2963780497C33923547 @default.
- W2963780497 hasConceptScore W2963780497C83979697 @default.
- W2963780497 hasIssue "4" @default.
- W2963780497 hasLocation W29637804971 @default.
- W2963780497 hasLocation W29637804972 @default.
- W2963780497 hasOpenAccess W2963780497 @default.
- W2963780497 hasPrimaryLocation W29637804971 @default.
- W2963780497 hasRelatedWork W1989122576 @default.
- W2963780497 hasRelatedWork W2004772451 @default.
- W2963780497 hasRelatedWork W2023661790 @default.
- W2963780497 hasRelatedWork W2044219908 @default.
- W2963780497 hasRelatedWork W2105325102 @default.
- W2963780497 hasRelatedWork W2122029692 @default.
- W2963780497 hasRelatedWork W2315695949 @default.
- W2963780497 hasRelatedWork W2725952271 @default.
- W2963780497 hasRelatedWork W2962678875 @default.
- W2963780497 hasRelatedWork W3113519455 @default.
- W2963780497 hasVolume "91" @default.
- W2963780497 isParatext "false" @default.
- W2963780497 isRetracted "false" @default.
- W2963780497 magId "2963780497" @default.
- W2963780497 workType "article" @default.