Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Franki Dillen"'
It was proven in [B.-Y. Chen, F. Dillen, J. Van der Veken and L. Vrancken, Curvature inequalities for Lagrangian submanifolds: the final solution, Differ. Geom. Appl. 31 (2013), 808-819] that every Lagrangian submanifold $M$ of a complex space form $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3974b67e5d90b5d153b8a19bbcba7d85
http://arxiv.org/abs/1705.00685
http://arxiv.org/abs/1705.00685
Publikováno v:
Kyushu J. Math
Kyushu J. Math, 2014, 68, pp.93-103
Kyushu J. Math, 2014, 68, pp.93-103
In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ea151d60c2963c1d13d24f80c1a7fee
http://hdl.handle.net/2324/1456088
http://hdl.handle.net/2324/1456088
Publikováno v:
Volume: 7, Issue: 1 108-125
International Electronic Journal of Geometry
International Electronic Journal of Geometry
Let Fm = (M;F ) be a Finsler submanifold of a Finsler manifold em+p = (f M; e F ). By using the normal curvature vector eld of Fm and the Berwald connections on both F m and e m+p , we obtain the structure equations for the immersion of F m into e m+
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::797e25ef617ff62e95d4c8b713c2e802
https://doi.org/10.36890/iejg.594500
https://doi.org/10.36890/iejg.594500
Publikováno v:
Differential Geometry and its Applications. 31:808-819
Let M n be an n-dimensional Lagrangian submanifold of a complex space form M ˜ n ( 4 c ) of constant holomorphic sectional curvature 4c. We prove a pointwise inequality δ ( n 1 , … , n k ) ⩽ a ( n , k , n 1 , … , n k ) ‖ H ‖ 2 + b ( n , k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::deaa4bb62c8ee60f16b16af16db2a14f
https://doi.org/10.1016/j.difgeo.2013.09.006
https://doi.org/10.1016/j.difgeo.2013.09.006
Publikováno v:
Journal of Mathematical Analysis and Applications. 387(1):139-152
Lagrangian submanifolds appear naturally in the context of classical mechanics. Moreover, they play some important roles in supersymmetric field theories as well as in string theory. Recently, it was proved in Chen and Dillen (2011) [11] that for any
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6337759192870bec11dfd5b82983695
Autor:
Bang-Yen Chen, Franki Dillen
Publikováno v:
Journal of Mathematical Analysis and Applications. 379:229-239
Lagrangian submanifolds appear naturally in the context of classical mechanics. Moreover, they play some important roles in supersymmetric field theories as well as in string theory. In this paper we establish general inequalities for Lagrangian subm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fad685270d0387c0a248ac58dc6e3ab8
https://doi.org/10.1016/j.jmaa.2010.12.058
https://doi.org/10.1016/j.jmaa.2010.12.058
Publikováno v:
International Journal of Mathematics. 21:665-686
A surface of a pseudo-Riemannian manifold is called parallel if its second fundamental form is parallel with respect to the Van der Waerden–Bortolotti connection. Such surfaces are fundamental since the extrinsic invariants of the surfaces do no ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0df8c71c4c2fa407c90d50f85a76a685
https://doi.org/10.1142/s0129167x10006276
https://doi.org/10.1142/s0129167x10006276
Autor:
Franki Dillen, Marian Ioan Munteanu
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 40:85-97
In this paper we classify constant angle surfaces in $\H^2\times\R$, where $\H^2$ is the hyperbolic plane.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::deb0398b4eab7a78e2ee738c127ae9eb
https://doi.org/10.1007/s00574-009-0004-1
https://doi.org/10.1007/s00574-009-0004-1
Autor:
Franki Dillen, Johan Fastenakels
Publikováno v:
Open Mathematics, Vol 7, Iss 1, Pp 140-144 (2009)
We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in [8], must be totally geodesic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35c5d93e63b783f9e9478c0fa019157c
https://doaj.org/article/9f4b104f8c0a424da57d524384df0c6e
https://doaj.org/article/9f4b104f8c0a424da57d524384df0c6e
Publikováno v:
Mathematical Inequalities & Applications. :663-681
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3737296d91f6683e24baf6ce17aca8f
https://doi.org/10.7153/mia-12-50
https://doi.org/10.7153/mia-12-50