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Author ID: dillen.franki Recent zbMATH articles by "Dillen, Franki"
Published as: Dillen, Franki; Dillen, F.; Dillen, Franki J. E.; Dillen, Frankie
External Links: MGP · GND
Documents Indexed: 146 Publications since 1985
9 Contributions as Editor
Reviewing Activity: 37 Reviews
Biographic References: 5 Publications
Co-Authors: 58 Co-Authors with 140 Joint Publications
653 Co-Co-Authors
all top 5

Serials

7 Results in Mathematics
6 Differential Geometry and its Applications
5 Journal of Geometry
4 Journal of Geometry and Physics
4 Proceedings of the American Mathematical Society
4 Tôhoku Mathematical Journal. Second Series
4 Soochow Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 Archiv der Mathematik
3 Journal of the Mathematical Society of Japan
3 Bulletin de la Société Matheḿatique de Belgique. Série B
3 Bulletin of the Institute of Mathematics. Academia Sinica
3 Taiwanese Journal of Mathematics
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Geometriae Dedicata
2 Japanese Journal of Mathematics. New Series
2 Kodai Mathematical Journal
2 Kyungpook Mathematical Journal
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Nagoya Mathematical Journal
2 Note di Matematica
2 International Journal of Mathematics
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
2 Kyushu Journal of Mathematics
2 International Electronic Journal of Geometry
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică
1 Archivum Mathematicum
1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali
1 Chinese Journal of Mathematics
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematical Journal of Okayama University
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 Annals of Global Analysis and Geometry
1 Zbornik Radova, Prirodno-Matematickog Fakulteta, Univerzitet u Kragujevcu
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Studia Universitatis Babeș-Bolyai. Mathematica
1 Bulletin of the American Mathematical Society. New Series
1 Rendiconti del Seminario Matematico di Messina. Serie II
1 Filomat
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Mathematical Inequalities & Applications
1 Kragujevac Journal of Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Bulletin of the Transilvania University of Brașov. Series III. Mathematics, Informatics, Physics
1 Berichte aus der Mathematik

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 1,328 times in 766 Documents Cited by Year
Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\). Zbl 1140.53006
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri; Vrancken, Luc
52
2007
A pointwise inequality in submanifold theory. Zbl 1054.53075
De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L.
50
1999
Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\). Zbl 1173.53012
Dillen, Franki; Munteanu, Marian Ioan
48
2009
Rectifying curves as centrodes and extremal curves. Zbl 1082.53012
Chen, Bang-Yen; Dillen, Franki
46
2005
Calabi-type composition of affine spheres. Zbl 0934.53006
Dillen, Franki; Vrancken, Luc
38
1994
On surfaces of finite type in Euclidean 3-space. Zbl 0705.53027
Dillen, Franki; Pas, Johan; Verstraelen, Leopold
35
1990
Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008
Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc
35
1990
Ruled Weingarten surfaces in Minkowski 3-space. Zbl 0942.53004
Dillen, Franki; Kühnel, Wolfgang
33
1999
An exotic totally real minimal immersion of \(S^ 3\) in \(\mathbb{C} P^ 3\) and its characterisation. Zbl 0855.53011
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
31
1996
Almost complex surfaces in the nearly Kähler \(S^3\times S^3\). Zbl 1327.53067
Bolton, John; Dillen, Franki; Dioos, Bart; Vrancken, Luc
30
2015
Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality. Zbl 0816.53034
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
28
1994
Semi-parallelity, multi-rotation surfaces and the helix-property. Zbl 0770.53039
Dillen, Franki; Nölker, Stefan
27
1993
Totally real submanifolds in \(S^ 6(1)\) satisfying Chen’s equality. Zbl 0882.53017
Dillen, Franki; Vrancken, Luc
26
1996
Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\). Zbl 0721.53047
Dillen, F.; Verstraelen, L.; Vrancken, L.
24
1990
Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
23
2013
Affine hypersurfaces with parallel cubic form. Zbl 0806.53008
Dillen, Franki; Vrancken, Luc; Yaprak, Sahnur
22
1994
Semi-parallel hypersurfaces of a real space form. Zbl 0765.53012
Dillen, Franki
21
1991
Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction. Zbl 1176.53031
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri
21
2009
Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere. Zbl 0990.53014
Deszcz, Ryszard; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
21
1999
Lagrangian isometric immersions of a real-space-form \(M^n(c)\) into a complex-space-form \(\widetilde M^n(4c)\). Zbl 0929.53008
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
20
1998
On the Gauss map of surfaces of revolution. Zbl 0727.53005
Dillen, Franki; Pas, Johan; Verstraelen, Leopold
19
1990
3-dimensional affine hypersurfaces in \(\mathbb{R}{}^ 4\) with parallel cubic form. Zbl 0770.53006
Dillen, Franki; Vrancken, Luc
18
1991
A generalization of the translation surfaces of Scherk. Zbl 0804.53007
Dillen, Franki; Verstraelen, Leopold; Zafindratafa, Georges
18
1991
Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082
Chen, Bang-Yen; Dillen, Franki
18
2011
Ruled surface of finite type. Zbl 0704.53003
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
17
1990
Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\). Zbl 1241.53010
Dillen, Franki; Nistor, Ana-Irina; Munteanu, Marian Ioan
17
2011
Remarks on an inequality involving the normal scalar curvature. Zbl 1143.53060
Dillen, Franki; Fastenakels, Johan; van der Veken, Joeri
17
2007
Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces. Zbl 1029.53071
Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi
17
2002
Optimal inequalities for multiply warped product submanifolds. Zbl 1184.53059
Chen, Bang-Yen; Dillen, Franki
16
2008
Equivalence theorems in affine differential geometry. Zbl 0684.53012
Dillen, Franki
15
1989
Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen’s equality. Zbl 0896.53040
Dillen, F.; Petrovic, M.; Verstraelen, L.
14
1997
On totally real 3-dimensional submanifolds of the nearly Kaehler 6- sphere. Zbl 0618.53046
Dillen, F.; Opozda, B.; Verstraelen, L.; Vrancken, L.
13
1987
Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures. Zbl 0829.53049
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
13
1995
Translation surfaces of Weingaryen type in 3-space. Zbl 1349.53008
Dillen, Franki; Goemans, Wendy; Woestyne, Ignace Van de
13
2008
Classification of constant angle surfaces in a warped product. Zbl 1228.53021
Dillen, Franki; Munteanu, Marian Ioan; Van Der Veken, Joeri; Vrancken, Luc
13
2011
Hypersurfaces with parallel difference tensor. Zbl 0907.53007
Dillen, Franki; Vrancken, Luc
13
1998
Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces. Zbl 1007.53019
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
13
2000
Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Zbl 1121.53047
Chen, Bang-Yen; Dillen, Franki
12
2007
A best possible inequality for curvature-like tensor fields. Zbl 1175.53023
Bolton, John; Dillen, Franki; Fastenakels, Johan; Vrancken, Luc
12
2009
\(\delta\)-invariants and their applications to centroaffine geometry. Zbl 1075.53012
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold
12
2005
On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces. Zbl 0765.53006
Dillen, Franki; Martinez, Antonio; Milan, Francisco; Garcia Santos, Florentino; Vrancken, Luc
11
1991
A pinching theorem for the normal scalar curvature of invariant submanifolds. Zbl 1108.53020
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri
11
2007
Lagrangian submanifolds in complex projective space with parallel second fundamental form. Zbl 1245.53058
Dillen, Franki; Li, Haizhong; Vrancken, Luc; Wang, Xianfeng
11
2012
C-totally real submanifolds of Sasakian space forms. Zbl 0654.53062
Dillen, Franki; Vrancken, Luc
11
1990
A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Zbl 1008.53021
Abdalla, Bahaa E.; Dillen, Franki
10
2002
Ruled submanifolds of finite type. Zbl 0747.53006
Dillen, Franki
10
1992
Ruled surfaces of Weingarten type in Minkowski 3-space. Zbl 1094.53005
Dillen, Franki; Sodsiri, Wijarn
10
2005
The surface of Scherk in \(\mathbb{E}^3\). A special case in the class of minimal surfaces defined as the sum of two curves. Zbl 0940.53004
Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J.
10
1998
Complex affine differential geometry. Zbl 0723.53006
Dillen, F.; Vrancken, L.; Verstraelen, L.
9
1988
On almost complex surfaces of the nearly Kaehler 6-sphere. II. Zbl 0677.53063
Dillen, F.; Verstraelen, L.; Vrancken, L.
9
1987
The affine mean curvature vector for surfaces in \(\mathbb{R}^ 4\). Zbl 0833.53011
Dillen, F.; Mys, G.; Verstraelen, L.; Vrancken, L.
9
1994
C-totally real submanifolds of \(S^ 7(1)\) with non-negative sectional curvature. Zbl 0699.53055
Dillen, Franki; Vrancken, Luc
9
1989
The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces. Zbl 0795.53008
Dillen, Franki; Vrancken, Luc
9
1993
Homogeneous affine hypersurfaces with rank one shape operators. Zbl 0804.53014
Dillen, Franki; Vrancken, Luc
9
1993
The classification of hypersurfaces of a Euclidean space with parallel higher order fundamental form. Zbl 0671.53007
Dillen, F.
8
1990
Two equivariant totally real immersions into the nearly Kähler 6-sphere and their characterization. Zbl 0831.53016
Chen, Bang-yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
8
1995
Quadrics of finite type. Zbl 0709.53036
Chen, Bang-Yen; Dillen, Franki
8
1990
Constant angle surfaces in product spaces. Zbl 1252.53025
Dillen, Franki; Kowalczyk, Daniel
8
2012
Decomposable affine hypersurfaces. Zbl 1305.53013
Antić, Miroslava; Dillen, Franki; Schoels, Kristof; Vrancken, Luc
7
2014
Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces. Zbl 0820.53009
Dillen, Franki; Vrancken, Luc
7
1994
Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108
Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc
7
2012
Curves of finite type. Zbl 0747.53005
Chen, B. Y.; Deprez, J.; Dillen, F.; Verstraelen, L.
6
1990
Polynomials with constant Hessian determinant. Zbl 0741.12001
Dillen, Franki
6
1991
Complex affine hypersurfaces of \({\mathbb{C}}^{n+1}\). I. Zbl 0676.53009
Dillen, Franki; Vrancken, Luc
6
1988
Rotation hypersurfacas in \(\mathbb S^{n} \times \mathbb R\) and \(\mathbb H^{n} \times \mathbb R\). Zbl 1220.53023
Dillen, Franki; Fastenakels, Johan; Van Der Veken, Joeri
6
2009
On problems of U. Simon concerning minimal submanifolds of the nearly Kähler 6-sphere. Zbl 0655.53052
Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
6
1988
Handbook of differential geometry. Vol. I. Zbl 1069.00010
6
2000
Surfaces in \(\mathbb H^+\times \mathbb R\). Zbl 1144.53068
Dillen, Franki; Munteanu, Marian Ioan
6
2007
A variational minimal principle characterizes submanifolds of finite type. Zbl 0811.53054
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
6
1993
Generalized Cayley surfaces. Zbl 0746.53008
Dillen, Franki; Vrancken, Luc
5
1991
Classification of \(\delta(2,n-2)\)-ideal Lagrangian submanifolds in \(n\)-dimensional complex space forms. Zbl 1381.53154
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
5
2018
Improper affine spheres and \(\delta\)-invariants. Zbl 1089.53011
Dillen, Franki; Vrancken, Luc
5
2005
Locally symmetric complex affine hypersurfaces. Zbl 0656.53012
Dillen, Franki
5
1988
Deformations of Legendre curves. Zbl 0907.53037
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
5
1995
Total curvature of complete submanifolds of Euclidean space. Zbl 1087.53007
Dillen, Franki; Kühnel, Wolfgang
5
2005
Special Lagrangian 4-folds with \(\mathrm{SO}(2)\rtimes S_3\)-symmetry in complex space forms. Zbl 1357.53092
Dillen, Franki; Scharlach, Christine; Schoels, Kristof; Vrancken, Luc
5
2015
Finite type space curves. Zbl 0627.53001
Chen, B. Y.; Dillen, F.; Verstraelen, L.
4
1986
Lorentzian isotropic Lagrangian immersions. Zbl 1474.53089
Dillen, Franki; Vrancken, Luc
4
2016
Affine differential geometry for surfaces in codimension one, two and three. Zbl 0837.53008
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1994
\(\delta\)-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057
Chen, Bang-Yen; Dillen, Franki
4
2011
Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri
4
2010
The conharmonic curvature tensor and 4-dimensional catenoids. Zbl 0659.53026
Dillen, F.; Petrović-Torgašev, M.; Verstraelen, L.
4
1988
Affine hyperspheres with constant affine sectional curvature. Zbl 0996.53005
Dillen, Franki; Magid, Martin; Vrancken, Luc
4
2000
The semiring of immersions of manifolds. Zbl 0788.53047
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1993
Calabi curves as holomorphic Legendre curves and Chen’s inequality. Zbl 0999.53039
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1996
Totally real bisectional curvature, Bochner-Kähler and Einstein-Kähler manifolds. Zbl 0942.53031
Chen, Bang-Yen; Dillen, Franki
4
1999
Parallel hypersurfaces of affine spaces. Zbl 0859.53004
Dillen, F.; Vrancken, L.
4
1993
An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings. Zbl 1083.53062
Dillen, Franki; Haesen, Stefan; Petrović-Torgašev, Miroslava; Verstraelen, Leopold
4
2004
Quadric hypersurfaces of finite type. Zbl 0765.53043
Chen, Bang-Yen; Dillen, Franki; Song, Hongzao
3
1992
On almost complex surfaces of the nearly Kaehler 6-sphere. I. Zbl 0677.53062
Dillen, Franki; Opozda, Barbara; Verstraelen, Leopold; Vrancken, Luc
3
1987
Cubic form geometry for immersions in centro-affine and graph hypersurfaces. Zbl 1045.53007
Dillen, Franki; Verbouwe, Gerd; Vrancken, Luc
3
2003
Ruled surfaces of Weingarten type in Minkowski 3-space. II. Zbl 1110.53013
Dillen, Franki; Sodsiri, Wijarn
3
2005
Classification of polynomial translation hypersurfaces of finite type. Zbl 0833.53005
Dillen, F.; Verstraelen, L.; Vrancken, L.; Zafindratafa, G.
3
1995
Ruled surfaces of finite type in 3-dimensional Minkowski space. Zbl 0839.53003
Dillen, Franki; Van de Woestyne, Ignace; Verstraelen, Leopold; Walrave, Johan
3
1995
Sur les hypersurfaces parallèles d’ordre supérieur. (On higher order parallel hypersurfaces). Zbl 0702.53012
Dillen, Franki
3
1990
The classification of hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0793.53058
Dillen, Franki
3
1991
Constant angle surfaces in \(\mathbb{S}^3(1) \times \mathbb R\). Zbl 1242.53017
Chen, Daguang; Chen, Gangyi; Chen, Hang; Dillen, Franki
3
2012
Homogeneous surfaces in the three-dimensional projective geometry. Zbl 1028.53013
Dillen, Franki; Doubrov, Boris; Komrakov, Boris; Rabinovich, Maxim
3
2000
Tensor products of spherical and equivariant immersions. Zbl 0815.53063
Decruyenaere, F.; Dillen, F.; Mihai, I.; Verstraelen, L.
3
1994
Affine homogeneous surfaces in \(\mathbb{R}^ 3\) with vanishing Pick invariant. Zbl 0890.53008
Abdalla, B. E.; Dillen, F.; Vrancken, L.
3
1997
Classification of \(\delta(2,n-2)\)-ideal Lagrangian submanifolds in \(n\)-dimensional complex space forms. Zbl 1381.53154
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
5
2018
Lorentzian isotropic Lagrangian immersions. Zbl 1474.53089
Dillen, Franki; Vrancken, Luc
4
2016
Almost complex surfaces in the nearly Kähler \(S^3\times S^3\). Zbl 1327.53067
Bolton, John; Dillen, Franki; Dioos, Bart; Vrancken, Luc
30
2015
Special Lagrangian 4-folds with \(\mathrm{SO}(2)\rtimes S_3\)-symmetry in complex space forms. Zbl 1357.53092
Dillen, Franki; Scharlach, Christine; Schoels, Kristof; Vrancken, Luc
5
2015
Decomposable affine hypersurfaces. Zbl 1305.53013
Antić, Miroslava; Dillen, Franki; Schoels, Kristof; Vrancken, Luc
7
2014
Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
23
2013
Submanifold theory and parallel transport. Zbl 1299.53039
Dillen, Franki; Fastenakels, Johan; Haesen, Stefan; Van der Veken, Joeri; Verstraelen, Leopold
2
2013
Lagrangian submanifolds in complex projective space with parallel second fundamental form. Zbl 1245.53058
Dillen, Franki; Li, Haizhong; Vrancken, Luc; Wang, Xianfeng
11
2012
Constant angle surfaces in product spaces. Zbl 1252.53025
Dillen, Franki; Kowalczyk, Daniel
8
2012
Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108
Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc
7
2012
Constant angle surfaces in \(\mathbb{S}^3(1) \times \mathbb R\). Zbl 1242.53017
Chen, Daguang; Chen, Gangyi; Chen, Hang; Dillen, Franki
3
2012
Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082
Chen, Bang-Yen; Dillen, Franki
18
2011
Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\). Zbl 1241.53010
Dillen, Franki; Nistor, Ana-Irina; Munteanu, Marian Ioan
17
2011
Classification of constant angle surfaces in a warped product. Zbl 1228.53021
Dillen, Franki; Munteanu, Marian Ioan; Van Der Veken, Joeri; Vrancken, Luc
13
2011
\(\delta\)-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057
Chen, Bang-Yen; Dillen, Franki
4
2011
Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri
4
2010
Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\). Zbl 1173.53012
Dillen, Franki; Munteanu, Marian Ioan
48
2009
Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction. Zbl 1176.53031
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri
21
2009
A best possible inequality for curvature-like tensor fields. Zbl 1175.53023
Bolton, John; Dillen, Franki; Fastenakels, Johan; Vrancken, Luc
12
2009
Rotation hypersurfacas in \(\mathbb S^{n} \times \mathbb R\) and \(\mathbb H^{n} \times \mathbb R\). Zbl 1220.53023
Dillen, Franki; Fastenakels, Johan; Van Der Veken, Joeri
6
2009
On an inequality of Oprea for Lagrangian submanifolds. Zbl 1176.53030
Dillen, Franki; Fastenakels, Johan
2
2009
Optimal inequalities for multiply warped product submanifolds. Zbl 1184.53059
Chen, Bang-Yen; Dillen, Franki
16
2008
Translation surfaces of Weingaryen type in 3-space. Zbl 1349.53008
Dillen, Franki; Goemans, Wendy; Woestyne, Ignace Van de
13
2008
Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds. Zbl 1155.53047
Chen, Bang-Yen; Dillen, Franki
2
2008
Higher order parallel surfaces in the Heisenberg group. Zbl 1142.53017
Dillen, Franki; van der Veken, Joeri
2
2008
Erratum: “Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space form”. Zbl 1152.81370
Chen, Bang-Yen; Dillen, Franki
1
2008
Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\). Zbl 1140.53006
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri; Vrancken, Luc
52
2007
Remarks on an inequality involving the normal scalar curvature. Zbl 1143.53060
Dillen, Franki; Fastenakels, Johan; van der Veken, Joeri
17
2007
Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Zbl 1121.53047
Chen, Bang-Yen; Dillen, Franki
12
2007
A pinching theorem for the normal scalar curvature of invariant submanifolds. Zbl 1108.53020
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri
11
2007
Surfaces in \(\mathbb H^+\times \mathbb R\). Zbl 1144.53068
Dillen, Franki; Munteanu, Marian Ioan
6
2007
Rectifying curves as centrodes and extremal curves. Zbl 1082.53012
Chen, Bang-Yen; Dillen, Franki
46
2005
\(\delta\)-invariants and their applications to centroaffine geometry. Zbl 1075.53012
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold
12
2005
Ruled surfaces of Weingarten type in Minkowski 3-space. Zbl 1094.53005
Dillen, Franki; Sodsiri, Wijarn
10
2005
Improper affine spheres and \(\delta\)-invariants. Zbl 1089.53011
Dillen, Franki; Vrancken, Luc
5
2005
Total curvature of complete submanifolds of Euclidean space. Zbl 1087.53007
Dillen, Franki; Kühnel, Wolfgang
5
2005
Ruled surfaces of Weingarten type in Minkowski 3-space. II. Zbl 1110.53013
Dillen, Franki; Sodsiri, Wijarn
3
2005
An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings. Zbl 1083.53062
Dillen, Franki; Haesen, Stefan; Petrović-Torgašev, Miroslava; Verstraelen, Leopold
4
2004
Affine hypersurfaces with symmetric shape operator. Zbl 1071.53005
Dillen, Franki; Lu, Ying
3
2004
Cubic form geometry for immersions in centro-affine and graph hypersurfaces. Zbl 1045.53007
Dillen, Franki; Verbouwe, Gerd; Vrancken, Luc
3
2003
A characterization of quadrics by the principal curvature functions. Zbl 1048.53013
Dillen, F.; Lusala, T.; Scherfner, M.; Verbouwe, G.
1
2003
Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces. Zbl 1029.53071
Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi
17
2002
A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Zbl 1008.53021
Abdalla, Bahaa E.; Dillen, Franki
10
2002
Parallel surfaces in the real special linear group \(\operatorname{SL}(2,\mathbb{R})\). Zbl 1007.53047
Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi
2
2002
Total curvature for open submanifolds of Euclidean spaces. Zbl 1163.53333
Dillen, Franki; Kühnel, Wolfgang
1
2001
Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces. Zbl 1007.53019
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
13
2000
Handbook of differential geometry. Vol. I. Zbl 1069.00010
6
2000
Affine hyperspheres with constant affine sectional curvature. Zbl 0996.53005
Dillen, Franki; Magid, Martin; Vrancken, Luc
4
2000
Homogeneous surfaces in the three-dimensional projective geometry. Zbl 1028.53013
Dillen, Franki; Doubrov, Boris; Komrakov, Boris; Rabinovich, Maxim
3
2000
A pointwise inequality in submanifold theory. Zbl 1054.53075
De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L.
50
1999
Ruled Weingarten surfaces in Minkowski 3-space. Zbl 0942.53004
Dillen, Franki; Kühnel, Wolfgang
33
1999
Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere. Zbl 0990.53014
Deszcz, Ryszard; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
21
1999
Totally real bisectional curvature, Bochner-Kähler and Einstein-Kähler manifolds. Zbl 0942.53031
Chen, Bang-Yen; Dillen, Franki
4
1999
Lagrangian isometric immersions of a real-space-form \(M^n(c)\) into a complex-space-form \(\widetilde M^n(4c)\). Zbl 0929.53008
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
20
1998
Hypersurfaces with parallel difference tensor. Zbl 0907.53007
Dillen, Franki; Vrancken, Luc
13
1998
The surface of Scherk in \(\mathbb{E}^3\). A special case in the class of minimal surfaces defined as the sum of two curves. Zbl 0940.53004
Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J.
10
1998
The normal curvature of totally real submanifolds of \(S^6(1)\). Zbl 0906.53011
De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L.
1
1998
Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen’s equality. Zbl 0896.53040
Dillen, F.; Petrovic, M.; Verstraelen, L.
14
1997
Affine homogeneous surfaces in \(\mathbb{R}^ 3\) with vanishing Pick invariant. Zbl 0890.53008
Abdalla, B. E.; Dillen, F.; Vrancken, L.
3
1997
An exotic totally real minimal immersion of \(S^ 3\) in \(\mathbb{C} P^ 3\) and its characterisation. Zbl 0855.53011
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
31
1996
Totally real submanifolds in \(S^ 6(1)\) satisfying Chen’s equality. Zbl 0882.53017
Dillen, Franki; Vrancken, Luc
26
1996
Calabi curves as holomorphic Legendre curves and Chen’s inequality. Zbl 0999.53039
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1996
Ruled surfaces of constant mean curvature in 3-dimensional Minkowski space. Zbl 0936.53015
Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J.
1
1996
Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures. Zbl 0829.53049
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
13
1995
Two equivariant totally real immersions into the nearly Kähler 6-sphere and their characterization. Zbl 0831.53016
Chen, Bang-yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
8
1995
Deformations of Legendre curves. Zbl 0907.53037
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
5
1995
Classification of polynomial translation hypersurfaces of finite type. Zbl 0833.53005
Dillen, F.; Verstraelen, L.; Vrancken, L.; Zafindratafa, G.
3
1995
Ruled surfaces of finite type in 3-dimensional Minkowski space. Zbl 0839.53003
Dillen, Franki; Van de Woestyne, Ignace; Verstraelen, Leopold; Walrave, Johan
3
1995
Compact hypersurfaces determined by a spectral variational principle. Zbl 0862.53043
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
2
1995
Calabi-type composition of affine spheres. Zbl 0934.53006
Dillen, Franki; Vrancken, Luc
38
1994
Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality. Zbl 0816.53034
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
28
1994
Affine hypersurfaces with parallel cubic form. Zbl 0806.53008
Dillen, Franki; Vrancken, Luc; Yaprak, Sahnur
22
1994
The affine mean curvature vector for surfaces in \(\mathbb{R}^ 4\). Zbl 0833.53011
Dillen, F.; Mys, G.; Verstraelen, L.; Vrancken, L.
9
1994
Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces. Zbl 0820.53009
Dillen, Franki; Vrancken, Luc
7
1994
Affine differential geometry for surfaces in codimension one, two and three. Zbl 0837.53008
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1994
Tensor products of spherical and equivariant immersions. Zbl 0815.53063
Decruyenaere, F.; Dillen, F.; Mihai, I.; Verstraelen, L.
3
1994
Affine surfaces in \(\mathbb{R}^ 5\). Zbl 0815.53011
Decruyenaere, Fabien; Dillen, Franki; Vrancken, Luc; Vestraelen, Leopold
1
1994
Semi-parallelity, multi-rotation surfaces and the helix-property. Zbl 0770.53039
Dillen, Franki; Nölker, Stefan
27
1993
The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces. Zbl 0795.53008
Dillen, Franki; Vrancken, Luc
9
1993
Homogeneous affine hypersurfaces with rank one shape operators. Zbl 0804.53014
Dillen, Franki; Vrancken, Luc
9
1993
A variational minimal principle characterizes submanifolds of finite type. Zbl 0811.53054
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
6
1993
The semiring of immersions of manifolds. Zbl 0788.53047
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1993
Parallel hypersurfaces of affine spaces. Zbl 0859.53004
Dillen, F.; Vrancken, L.
4
1993
Submanifolds of restricted type. Zbl 0778.53002
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
1
1993
Curves of restricted type in Minkowski space. Zbl 0845.53004
Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J.
1
1993
Ruled submanifolds of finite type. Zbl 0747.53006
Dillen, Franki
10
1992
Quadric hypersurfaces of finite type. Zbl 0765.53043
Chen, Bang-Yen; Dillen, Franki; Song, Hongzao
3
1992
Hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0765.53013
Dillen, Franki
2
1992
Semi-parallel hypersurfaces of a real space form. Zbl 0765.53012
Dillen, Franki
21
1991
3-dimensional affine hypersurfaces in \(\mathbb{R}{}^ 4\) with parallel cubic form. Zbl 0770.53006
Dillen, Franki; Vrancken, Luc
18
1991
A generalization of the translation surfaces of Scherk. Zbl 0804.53007
Dillen, Franki; Verstraelen, Leopold; Zafindratafa, Georges
18
1991
On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces. Zbl 0765.53006
Dillen, Franki; Martinez, Antonio; Milan, Francisco; Garcia Santos, Florentino; Vrancken, Luc
11
1991
Polynomials with constant Hessian determinant. Zbl 0741.12001
Dillen, Franki
6
1991
Generalized Cayley surfaces. Zbl 0746.53008
Dillen, Franki; Vrancken, Luc
5
1991
The classification of hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0793.53058
Dillen, Franki
3
1991
Classification of curves of Chen type 2. Zbl 0794.53002
Dillen, Franki; Petrovic, Miroslava; Verstraelen, Leopold; Vrancken, Luc
1
1991
On surfaces of finite type in Euclidean 3-space. Zbl 0705.53027
Dillen, Franki; Pas, Johan; Verstraelen, Leopold
35
1990
Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008
Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc
35
1990
Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\). Zbl 0721.53047
Dillen, F.; Verstraelen, L.; Vrancken, L.
24
1990
On the Gauss map of surfaces of revolution. Zbl 0727.53005
Dillen, Franki; Pas, Johan; Verstraelen, Leopold
19
1990
...and 26 more Documents
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Cited by 652 Authors

80 Vrancken, Luc
62 Chen, Bang-Yen
44 Dillen, Franki
33 Hu, Zejun
28 Verstraelen, Leopold C. A.
18 Van der Veken, Joeri
16 Kim, Youngho
15 Munteanu, Marian-Ioan
14 Ruiz-Hernández, Gabriel
13 Li, Cece
13 Moruz, Marilena
11 Deszcz, Ryszard
11 Opozda, Barbara
10 Li, Haizhong
10 Mihai, Ion
10 Vîlcu, Gabriel Eduard
10 Yoon, Dae Won
9 Antic, Miroslava
9 Inoguchi, Jun-ichi
9 Karacan, Murat Kemal
9 Shaikh, Absos Ali
9 Siraj-Uddin
9 Wang, Changping
8 Aydin, Muhittin Evren
8 Djorić, Mirjana
8 Lee, Jaewon
8 Yayli, Yusuf
7 Ali, Akram
7 Deshmukh, Sharief
7 Fu, Yu
7 Ji, Fenghui
7 Kim, Dongsoo S.
7 López Camino, Rafael
7 Mihai, Adela
7 Shahid, Mohammed Hasan
7 Turgay, Nurettin Cenk
6 Alkhaldi, Ali H.
6 Arslan, Kadri
6 Baikoussis, Christos
6 Cheng, Xiuxiu
6 Di Scala, Antonio Jose
6 Dioos, Bart
6 Ergut, Mahmut
6 Güler, Erhan
6 Liu, Huili
6 Petrović-Torgašev, Miroslava
6 Simon, Udo
6 Wang, Xianfeng
6 Xing, Cheng
6 Yin, Jiabin
5 Alghanemi, Azeb
5 Ali, Ahmad Tawfik
5 Blair, David E.
5 Bulca, Betül
5 Crâşmăreanu, Mircea
5 De, Uday Chand
5 Fastenakels, Johan
5 Hou, Zhonghua
5 Karakuş, Siddika Özkaldi
5 Kelleci, Alev
5 Khan, Meraj Ali
5 Lucas, Pascual
5 Öztürk, Günay
5 Scharlach, Christine
5 Senoussi, Bendehiba
5 Suceavă, Bogdan Dragos
5 Xie, Zhenxiao
5 Yao, Zeke
5 Zafindratafa, Georges
5 Zhang, Pan
4 Al-Jedani, Awatif
4 Alías, Luis J.
4 Bansal, Pooja
4 Bekkar, Mohammed
4 Birembaux, Olivier
4 Dos Santos, Fábio Reis
4 Dos Santos, João Paulo
4 Garay, Oscar Jesus
4 Ge, Jianquan
4 Głogowska, Małgorzata
4 Gülbahar, Mehmet
4 Haesen, Stefan
4 Hui, Shyamal Kumar
4 İlarslan, Kazim
4 Jung, Seoung Dal
4 Kazan, Ahmet
4 Kılıç, Erol
4 Li, Tongzhu
4 Li, Xingxiao
4 Lu, Zhiqin
4 Ma, Xiang
4 Milán, Francisco
4 Milin-Šipuš, Željka
4 Murathan, Cengizhan
4 Nistor, Ana Irina
4 Onnis, Irene Ignazia
4 Suh, Young Jin
4 Tripathi, Mukut Mani
4 van de Woestyne, Ignace
4 Yang, Dan
...and 552 more Authors
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Cited in 174 Serials

65 Results in Mathematics
45 Journal of Geometry and Physics
35 Differential Geometry and its Applications
30 Journal of Mathematical Analysis and Applications
29 Journal of Geometry
20 Annals of Global Analysis and Geometry
18 Geometriae Dedicata
16 Filomat
16 Mediterranean Journal of Mathematics
15 Tôhoku Mathematical Journal. Second Series
15 International Electronic Journal of Geometry
13 International Journal of Geometric Methods in Modern Physics
12 The Journal of Geometric Analysis
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Turkish Journal of Mathematics
9 Israel Journal of Mathematics
9 Proceedings of the American Mathematical Society
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Archiv der Mathematik
8 Monatshefte für Mathematik
8 Acta Mathematica Sinica. English Series
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 International Journal of Mathematics
7 Central European Journal of Mathematics
6 Bulletin of the Australian Mathematical Society
6 Journal of Mathematical Physics
6 Beiträge zur Algebra und Geometrie
6 Journal of Mathematical Sciences (New York)
6 Taiwanese Journal of Mathematics
6 Bulletin of the Brazilian Mathematical Society. New Series
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Periodica Mathematica Hungarica
5 Ukrainian Mathematical Journal
5 Manuscripta Mathematica
5 Mathematische Nachrichten
5 Transactions of the American Mathematical Society
5 Acta Mathematica Hungarica
5 Russian Mathematics
5 Journal of the Egyptian Mathematical Society
5 Journal of Inequalities and Applications
5 Science China. Mathematics
5 AIMS Mathematics
4 Glasgow Mathematical Journal
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Advances in Applied Clifford Algebras
4 DGDS. Differential Geometry – Dynamical Systems
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
4 Afrika Matematika
4 Mathematics
3 Indian Journal of Pure & Applied Mathematics
3 Rocky Mountain Journal of Mathematics
3 Advances in Mathematics
3 Journal of the Korean Mathematical Society
3 Kodai Mathematical Journal
3 Mathematische Zeitschrift
3 Publications de l’Institut Mathématique. Nouvelle Série
3 Balkan Journal of Geometry and its Applications (BJGA)
3 Honam Mathematical Journal
3 Mathematical Inequalities & Applications
3 Advances in Geometry
3 Kragujevac Journal of Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Dynamical Systems and Geometric Theories
3 Frontiers of Mathematics in China
3 Symmetry
3 ISRN Geometry
3 Palestine Journal of Mathematics
3 Information Geometry
2 Communications in Mathematical Physics
2 Annales Polonici Mathematici
2 Applied Mathematics and Computation
2 Illinois Journal of Mathematics
2 Journal of Pure and Applied Algebra
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Tokyo Journal of Mathematics
2 Bulletin of the Korean Mathematical Society
2 Facta Universitatis. Series Mathematics and Informatics
2 Linear Algebra and its Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Calculus of Variations and Partial Differential Equations
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Arab Journal of Mathematical Sciences
2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
2 Communications of the Korean Mathematical Society
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 Applied Mathematics E-Notes
2 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
2 Acta Universitatis Sapientiae. Mathematica
2 Advances in Mathematical Physics
2 Iranian Journal of Mathematical Sciences and Informatics
2 International Journal of Analysis and Applications
2 Open Mathematics
2 Complex Manifolds
1 Communications in Algebra
1 Reports on Mathematical Physics
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 The Annals of Probability
...and 74 more Serials

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