Matches in SemOpenAlex for { <https://semopenalex.org/work/W1895997207> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W1895997207 abstract "A surface $S$ in $R^{3}$ is called parallel curved if there exists a plane such that at each point of $S$, there exists a principal direction parallel to this plane. In [2], we studied real-analytic, parallel curved surfaces and in particular, we showed that a connected, complete, real-analytic, embedded, parallel curved surface is homeomorphic to a sphere, a plane, a cylinder, or a torus. In the present paper, we shall show that a connected, complete, embedded, parallel curved surface such that any umbilical point is isolated is also homeomorphic to a sphere, a plane, a cylinder or a torus. However, we shall also show that for each non-negative integer $gin Ncup{0}$, there exists a connected, compact, orientable, embedded, parallel curved surface of genus $g$." @default.
- W1895997207 created "2016-06-24" @default.
- W1895997207 creator A5056212614 @default.
- W1895997207 date "2004-06-01" @default.
- W1895997207 modified "2023-10-14" @default.
- W1895997207 title "Parallel curved surfaces" @default.
- W1895997207 cites W2013850970 @default.
- W1895997207 cites W2021332032 @default.
- W1895997207 cites W569700648 @default.
- W1895997207 doi "https://doi.org/10.21099/tkbjm/1496164723" @default.
- W1895997207 hasPublicationYear "2004" @default.
- W1895997207 type Work @default.
- W1895997207 sameAs 1895997207 @default.
- W1895997207 citedByCount "7" @default.
- W1895997207 countsByYear W18959972072015 @default.
- W1895997207 countsByYear W18959972072016 @default.
- W1895997207 countsByYear W18959972072023 @default.
- W1895997207 crossrefType "journal-article" @default.
- W1895997207 hasAuthorship W1895997207A5056212614 @default.
- W1895997207 hasBestOaLocation W18959972071 @default.
- W1895997207 hasConcept C114614502 @default.
- W1895997207 hasConcept C157369684 @default.
- W1895997207 hasConcept C17825722 @default.
- W1895997207 hasConcept C199360897 @default.
- W1895997207 hasConcept C203311528 @default.
- W1895997207 hasConcept C2524010 @default.
- W1895997207 hasConcept C2776799497 @default.
- W1895997207 hasConcept C28719098 @default.
- W1895997207 hasConcept C33923547 @default.
- W1895997207 hasConcept C41008148 @default.
- W1895997207 hasConcept C59822182 @default.
- W1895997207 hasConcept C86803240 @default.
- W1895997207 hasConcept C97137487 @default.
- W1895997207 hasConcept C9767117 @default.
- W1895997207 hasConceptScore W1895997207C114614502 @default.
- W1895997207 hasConceptScore W1895997207C157369684 @default.
- W1895997207 hasConceptScore W1895997207C17825722 @default.
- W1895997207 hasConceptScore W1895997207C199360897 @default.
- W1895997207 hasConceptScore W1895997207C203311528 @default.
- W1895997207 hasConceptScore W1895997207C2524010 @default.
- W1895997207 hasConceptScore W1895997207C2776799497 @default.
- W1895997207 hasConceptScore W1895997207C28719098 @default.
- W1895997207 hasConceptScore W1895997207C33923547 @default.
- W1895997207 hasConceptScore W1895997207C41008148 @default.
- W1895997207 hasConceptScore W1895997207C59822182 @default.
- W1895997207 hasConceptScore W1895997207C86803240 @default.
- W1895997207 hasConceptScore W1895997207C97137487 @default.
- W1895997207 hasConceptScore W1895997207C9767117 @default.
- W1895997207 hasIssue "1" @default.
- W1895997207 hasLocation W18959972071 @default.
- W1895997207 hasLocation W18959972072 @default.
- W1895997207 hasOpenAccess W1895997207 @default.
- W1895997207 hasPrimaryLocation W18959972071 @default.
- W1895997207 hasRelatedWork W1895997207 @default.
- W1895997207 hasRelatedWork W1932109609 @default.
- W1895997207 hasRelatedWork W2051422775 @default.
- W1895997207 hasRelatedWork W2071630442 @default.
- W1895997207 hasRelatedWork W2140952994 @default.
- W1895997207 hasRelatedWork W2370794522 @default.
- W1895997207 hasRelatedWork W2736788379 @default.
- W1895997207 hasRelatedWork W4256014305 @default.
- W1895997207 hasRelatedWork W52097576 @default.
- W1895997207 hasRelatedWork W349146750 @default.
- W1895997207 hasVolume "28" @default.
- W1895997207 isParatext "false" @default.
- W1895997207 isRetracted "false" @default.
- W1895997207 magId "1895997207" @default.
- W1895997207 workType "article" @default.