Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385473600> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4385473600 abstract "Let $M$ be a Lorentz surface and $F:Mrightarrow N$ a time-like and conformal immersion of $M$ into a 4-dimensional neutral space form $N$ with zero mean curvature vector. We see that the curvature $K$ of the induced metric on $M$ by $F$ is identically equal to the constant sectional curvature $L_0$ of $N$ if and only if the covariant derivatives of both of the time-like twistor lifts are zero or light-like. If $Kequiv L_0$, then the normal connection $nabla^{perp}$ of $F$ is flat, while the converse is not necessarily true. We see that a holomorphic paracomplex quartic differential $Q$ on $M$ defined by $F$ is zero or null if and only if the covariant derivative of at least one of the time-like twistor lifts is zero or light-like. In addition, we see that $K$ is identically equal to $L_0$ if and only if not only $nabla^{perp}$ is flat but also $Q$ is zero or null." @default.
- W4385473600 created "2023-08-02" @default.
- W4385473600 creator A5056212614 @default.
- W4385473600 date "2023-07-29" @default.
- W4385473600 modified "2023-09-23" @default.
- W4385473600 title "Time-like surfaces with zero mean curvature vector in 4-dimensional neutral space forms" @default.
- W4385473600 doi "https://doi.org/10.48550/arxiv.2307.15965" @default.
- W4385473600 hasPublicationYear "2023" @default.
- W4385473600 type Work @default.
- W4385473600 citedByCount "0" @default.
- W4385473600 crossrefType "posted-content" @default.
- W4385473600 hasAuthorship W4385473600A5056212614 @default.
- W4385473600 hasBestOaLocation W43854736001 @default.
- W4385473600 hasConcept C118159210 @default.
- W4385473600 hasConcept C121332964 @default.
- W4385473600 hasConcept C12520029 @default.
- W4385473600 hasConcept C13355873 @default.
- W4385473600 hasConcept C134306372 @default.
- W4385473600 hasConcept C138885662 @default.
- W4385473600 hasConcept C19492387 @default.
- W4385473600 hasConcept C195065555 @default.
- W4385473600 hasConcept C204575570 @default.
- W4385473600 hasConcept C2524010 @default.
- W4385473600 hasConcept C25793852 @default.
- W4385473600 hasConcept C2780813799 @default.
- W4385473600 hasConcept C33923547 @default.
- W4385473600 hasConcept C37914503 @default.
- W4385473600 hasConcept C41895202 @default.
- W4385473600 hasConcept C42448751 @default.
- W4385473600 hasConcept C91709909 @default.
- W4385473600 hasConcept C98214594 @default.
- W4385473600 hasConceptScore W4385473600C118159210 @default.
- W4385473600 hasConceptScore W4385473600C121332964 @default.
- W4385473600 hasConceptScore W4385473600C12520029 @default.
- W4385473600 hasConceptScore W4385473600C13355873 @default.
- W4385473600 hasConceptScore W4385473600C134306372 @default.
- W4385473600 hasConceptScore W4385473600C138885662 @default.
- W4385473600 hasConceptScore W4385473600C19492387 @default.
- W4385473600 hasConceptScore W4385473600C195065555 @default.
- W4385473600 hasConceptScore W4385473600C204575570 @default.
- W4385473600 hasConceptScore W4385473600C2524010 @default.
- W4385473600 hasConceptScore W4385473600C25793852 @default.
- W4385473600 hasConceptScore W4385473600C2780813799 @default.
- W4385473600 hasConceptScore W4385473600C33923547 @default.
- W4385473600 hasConceptScore W4385473600C37914503 @default.
- W4385473600 hasConceptScore W4385473600C41895202 @default.
- W4385473600 hasConceptScore W4385473600C42448751 @default.
- W4385473600 hasConceptScore W4385473600C91709909 @default.
- W4385473600 hasConceptScore W4385473600C98214594 @default.
- W4385473600 hasLocation W43854736001 @default.
- W4385473600 hasOpenAccess W4385473600 @default.
- W4385473600 hasPrimaryLocation W43854736001 @default.
- W4385473600 hasRelatedWork W1518831408 @default.
- W4385473600 hasRelatedWork W2046001483 @default.
- W4385473600 hasRelatedWork W2070837384 @default.
- W4385473600 hasRelatedWork W2132959323 @default.
- W4385473600 hasRelatedWork W2328219387 @default.
- W4385473600 hasRelatedWork W2607273010 @default.
- W4385473600 hasRelatedWork W2737589456 @default.
- W4385473600 hasRelatedWork W3015964821 @default.
- W4385473600 hasRelatedWork W3142333566 @default.
- W4385473600 hasRelatedWork W4320932654 @default.
- W4385473600 isParatext "false" @default.
- W4385473600 isRetracted "false" @default.
- W4385473600 workType "article" @default.