Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225654715> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W4225654715 abstract "For warped products with harmonic curvature, nonconstant warping functions $phi$, and compact two-dimensional bases $(M,h)$, we establish a dichotomy: either the Gaussian curvature $K$ of the metric $g=phi^{-2}h$ is constant and negative, or $phi$ equals a specific elementary function of $K$, also depending on the dimension $p$ and Einstein constant $varepsilon$ of the fibre. In both cases the fibre must be an Einstein manifold with $p>1$ and $varepsilon>0$, while the function $f=phi^{p/2}$ satisfies a Yamabe-type second-order differential equation on $(M,g)$. We prove that both possibilities are realized on every closed orientable surface of genus greater than $1$, and in the latter case -- which also occurs on the $2$-sphere and real projective plane -- the metrics in question constitute uncountably many distinct homothety types." @default.
- W4225654715 created "2022-05-05" @default.
- W4225654715 creator A5049749113 @default.
- W4225654715 creator A5071321619 @default.
- W4225654715 date "2022-01-05" @default.
- W4225654715 modified "2023-10-14" @default.
- W4225654715 title "Harmonic-curvature warped products over surfaces" @default.
- W4225654715 doi "https://doi.org/10.48550/arxiv.2201.01695" @default.
- W4225654715 hasPublicationYear "2022" @default.
- W4225654715 type Work @default.
- W4225654715 citedByCount "0" @default.
- W4225654715 crossrefType "posted-content" @default.
- W4225654715 hasAuthorship W4225654715A5049749113 @default.
- W4225654715 hasAuthorship W4225654715A5071321619 @default.
- W4225654715 hasBestOaLocation W42256547151 @default.
- W4225654715 hasConcept C121332964 @default.
- W4225654715 hasConcept C127413603 @default.
- W4225654715 hasConcept C127934551 @default.
- W4225654715 hasConcept C134306372 @default.
- W4225654715 hasConcept C14036430 @default.
- W4225654715 hasConcept C146846114 @default.
- W4225654715 hasConcept C157369684 @default.
- W4225654715 hasConcept C16140857 @default.
- W4225654715 hasConcept C162324750 @default.
- W4225654715 hasConcept C176217482 @default.
- W4225654715 hasConcept C18903297 @default.
- W4225654715 hasConcept C192939610 @default.
- W4225654715 hasConcept C195065555 @default.
- W4225654715 hasConcept C199360897 @default.
- W4225654715 hasConcept C202444582 @default.
- W4225654715 hasConcept C21547014 @default.
- W4225654715 hasConcept C2524010 @default.
- W4225654715 hasConcept C2776799497 @default.
- W4225654715 hasConcept C2777027219 @default.
- W4225654715 hasConcept C2777299769 @default.
- W4225654715 hasConcept C2779668893 @default.
- W4225654715 hasConcept C33676613 @default.
- W4225654715 hasConcept C33923547 @default.
- W4225654715 hasConcept C37914503 @default.
- W4225654715 hasConcept C41008148 @default.
- W4225654715 hasConcept C529865628 @default.
- W4225654715 hasConcept C59822182 @default.
- W4225654715 hasConcept C62520636 @default.
- W4225654715 hasConcept C78458016 @default.
- W4225654715 hasConcept C78519656 @default.
- W4225654715 hasConcept C86803240 @default.
- W4225654715 hasConcept C91709909 @default.
- W4225654715 hasConceptScore W4225654715C121332964 @default.
- W4225654715 hasConceptScore W4225654715C127413603 @default.
- W4225654715 hasConceptScore W4225654715C127934551 @default.
- W4225654715 hasConceptScore W4225654715C134306372 @default.
- W4225654715 hasConceptScore W4225654715C14036430 @default.
- W4225654715 hasConceptScore W4225654715C146846114 @default.
- W4225654715 hasConceptScore W4225654715C157369684 @default.
- W4225654715 hasConceptScore W4225654715C16140857 @default.
- W4225654715 hasConceptScore W4225654715C162324750 @default.
- W4225654715 hasConceptScore W4225654715C176217482 @default.
- W4225654715 hasConceptScore W4225654715C18903297 @default.
- W4225654715 hasConceptScore W4225654715C192939610 @default.
- W4225654715 hasConceptScore W4225654715C195065555 @default.
- W4225654715 hasConceptScore W4225654715C199360897 @default.
- W4225654715 hasConceptScore W4225654715C202444582 @default.
- W4225654715 hasConceptScore W4225654715C21547014 @default.
- W4225654715 hasConceptScore W4225654715C2524010 @default.
- W4225654715 hasConceptScore W4225654715C2776799497 @default.
- W4225654715 hasConceptScore W4225654715C2777027219 @default.
- W4225654715 hasConceptScore W4225654715C2777299769 @default.
- W4225654715 hasConceptScore W4225654715C2779668893 @default.
- W4225654715 hasConceptScore W4225654715C33676613 @default.
- W4225654715 hasConceptScore W4225654715C33923547 @default.
- W4225654715 hasConceptScore W4225654715C37914503 @default.
- W4225654715 hasConceptScore W4225654715C41008148 @default.
- W4225654715 hasConceptScore W4225654715C529865628 @default.
- W4225654715 hasConceptScore W4225654715C59822182 @default.
- W4225654715 hasConceptScore W4225654715C62520636 @default.
- W4225654715 hasConceptScore W4225654715C78458016 @default.
- W4225654715 hasConceptScore W4225654715C78519656 @default.
- W4225654715 hasConceptScore W4225654715C86803240 @default.
- W4225654715 hasConceptScore W4225654715C91709909 @default.
- W4225654715 hasLocation W42256547151 @default.
- W4225654715 hasLocation W42256547152 @default.
- W4225654715 hasOpenAccess W4225654715 @default.
- W4225654715 hasPrimaryLocation W42256547151 @default.
- W4225654715 hasRelatedWork W1998496059 @default.
- W4225654715 hasRelatedWork W2048714264 @default.
- W4225654715 hasRelatedWork W2154794869 @default.
- W4225654715 hasRelatedWork W2398810520 @default.
- W4225654715 hasRelatedWork W3124387356 @default.
- W4225654715 hasRelatedWork W3134760118 @default.
- W4225654715 hasRelatedWork W3158904890 @default.
- W4225654715 hasRelatedWork W4234806727 @default.
- W4225654715 hasRelatedWork W4248071532 @default.
- W4225654715 hasRelatedWork W4323321776 @default.
- W4225654715 isParatext "false" @default.
- W4225654715 isRetracted "false" @default.
- W4225654715 workType "article" @default.