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pro vyhledávání: '"Jesús Gonzalo Pérez"'
The current paper discusses some new results about conformal polynomial surface parametrizations. A new theorem is proved: Given a conformal polynomial surface parametrization of any degree it must be harmonic on each component. As a first geometrica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::826fc108b73a732310246b140df01910
https://doi.org/10.2139/ssrn.4353429
https://doi.org/10.2139/ssrn.4353429
We present two proofs that all closed, orientable 3-manifolds are parallelisable. Both are based on the Lickorish-Wallace surgery presentation; one proof uses a refinement due to Kaplan and some basic contact geometry. This complements a recent paper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55a8ecc83d6e54ace972e92ca653be8d
http://arxiv.org/abs/1808.05072
http://arxiv.org/abs/1808.05072
Autor:
Jesús Gonzalo Pérez, Hansjörg Geiges
Publikováno v:
Acta Mathematica Vietnamica. 38:145-164
Contact circles and contact spheres are geometric structures on 3-manifolds introduced by the authors some fifteen years ago. In this survey we review the main results about these structures and we include two as yet unpublished proofs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::311f04376a154f5c9818736c03c5348b
https://doi.org/10.1007/s40306-012-0007-7
https://doi.org/10.1007/s40306-012-0007-7
Autor:
Jesús Gonzalo Pérez
Publikováno v:
Geometriae Dedicata. 132:105-119
A simple dynamical condition is given for line fields within a contact structure, which is satisfied exactly by those line fields which are common kernels of contact circles. Some convexity properties are established which are useful in the study of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77efabc2ee51240c75188f152818c221
https://doi.org/10.1007/s10711-007-9161-9
https://doi.org/10.1007/s10711-007-9161-9
Autor:
Hansjörg Geiges, Jesús Gonzalo Pérez
Motivated by the moduli theory of taut contact circles on spherical 3-manifolds, we relate taut contact circles to transversely holomorphic flows. We give an elementary survey of such 1-dimensional foliations from a topological viewpoint. We describe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdb3426d7e406e7a90e58f11e772d303
http://arxiv.org/abs/1510.08670
http://arxiv.org/abs/1510.08670