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1

Yeast species composition differs between artisan bakery and spontaneous laboratory sourdoughs

Gino Vrancken, Luc De Vuyst, Roel Van der Meulen, Geert Huys, Peter Vandamme, Heide-Marie Daniel

Journal:

FEMS Yeast Research

Year:

2010

Language:

english

File:

PDF, 375 KB

english, 2010

2

Affine spheres with constant affine sectional curvature

Luc Vrancken, An-Min Li, Udo Simon

Journal:

Mathematische Zeitschrift

Year:

1991

Language:

english

File:

PDF, 379 KB

english, 1991

3

GEODESICS IN AFFINE DIFFERENTIAL GEOMETRY

NOMIZU, KATSUMI, VRANCKEN, LUC

Journal:

International Journal of Mathematics

Year:

1995

Language:

english

File:

PDF, 589 KB

english, 1995

4

Four dimensional biharmonic hypersurfaces in nonzero space forms have constant mean curvature

Guan, Zhida, Li, Haizhong, Vrancken, Luc

Journal:

Journal of Geometry and Physics

Year:

2021

File:

PDF, 503 KB

2021

5

Pseudo-isotropic Lorentzian hypersurfaces in Minkowski space

Franki Dillen, Radu Rosca, Leopold Verstraelen, Luc Vrancken

Journal:

Journal of Geometry and Physics

Year:

1992

Language:

english

File:

PDF, 322 KB

english, 1992

6

On locally strongly convex affine hypersurfaces with parallel cubic form. Part I

Zejun Hu, Haizhong Li, Udo Simon, Luc Vrancken

Journal:

Differential Geometry and its Applications

Year:

2009

Language:

english

File:

PDF, 338 KB

english, 2009

7

On locally symmetric affine hypersurfaces

Christine Scharlach, Luc Vrancken

Journal:

Archiv der Mathematik

Year:

1994

Language:

english

File:

PDF, 459 KB

english, 1994

8

Homogeneous affine hypersurfaces with rank one shape operators

Franki Dillen, Luc Vrancken

Journal:

Mathematische Zeitschrift

Year:

1993

Language:

english

File:

PDF, 495 KB

english, 1993

9

Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature

Marcus Kriele, Luc Vrancken

Journal:

Archiv der Mathematik

Year:

1999

Language:

english

File:

PDF, 112 KB

english, 1999

10

Warped Product Minimal Lagrangian Immersions in Complex Projective Space

Cristina Rodriguez Montealegre, Luc Vrancken

Journal:

Results in Mathematics

Year:

2009

Language:

english

File:

PDF, 623 KB

english, 2009

11

Pinching theorems for C-totally real submanifolds of Sasakian space forms

Leopold Verstraelen, Luc Vrancken

Journal:

Journal of Geometry

Year:

1988

Language:

english

File:

PDF, 434 KB

english, 1988

12

Polyphasic taxonomic characterization of Lactobacillus rossiae isolates from Belgian and Italian sourdoughs reveals intraspecific heterogeneity

Scheirlinck Ilse, Van der Meulen Roel, Vrancken Gino, De Vuyst Luc, Settanni Luca, Vandamme Peter, Huys Geert

Journal:

Systematic and Applied Microbiology

Year:

2009

Language:

english

File:

PDF, 236 KB

english, 2009

13

Addendum to: Existence and Uniqueness Theorem for Slant Immersions and its Applications

Bang-Yen Chen, Luc Vrancken

Journal:

Results in Mathematics

Year:

2001

Language:

english

File:

PDF, 564 KB

english, 2001

14

Totally Real Submanifolds in S6(1) Satisfying Chen's Equality

Franki Dillen and Luc Vrancken

Journal:

Transactions of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 1.12 MB

english, 1996

15

RIGIDITY OF AFFINE HYPERSURFACES WITH RANK 1 SHAPE OPERATOR

Journal:

International Journal of Mathematics

Year:

2003

Language:

english

File:

PDF, 230 KB

english, 2003

16

Affine surfaces whose geodesics are planar curves

Journal:

Proceedings of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 401 KB

english, 1995

17

Affine Surfaces whose Geodesics are Planar Curves

Journal:

Proceedings of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 156 KB

english, 1995

18

Lorentzian Affine Hyperspheres with Constant Affine Sectional Curvature

Marcus Kriele and Luc Vrancken

Journal:

Transactions of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 1.79 MB

english, 2000

19

Surfaces in R4with Constant Affine Gauss Maps

Luc Vrancken and Changping Wang

Journal:

Proceedings of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 239 KB

english, 1995

20

10.1090/s0002-9947-96-01626-1

Dillen, Franki, Vrancken, Luc

Journal:

Transactions of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 367 KB

english, 1996

21

10.1090/s0002-9947-99-02379-x

Kriele, Marcus, Vrancken, Luc

Journal:

Transactions of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 259 KB

english, 2000

22

Almost complex surfaces in the nearly Kähler $S^3\times S^3$

Bolton, John, Dillen, Franki, Dioos, Bart, Vrancken, Luc

Journal:

Tohoku Mathematical Journal

Year:

2015

Language:

english

File:

PDF, 144 KB

english, 2015

23

Flat Almost Complex Surfaces in the Homogeneous Nearly Kähler $${\varvec{S}}^\mathbf{3}\varvec{\times } {\varvec{S}}^\mathbf{3}$$S3×S3

Dioos, Bart, Li, Haizhong, Ma, Hui, Vrancken, Luc

Journal:

Results in Mathematics

Year:

2018

Language:

english

File:

PDF, 607 KB

english, 2018

24

Hypersurfaces with parallel difference tensor

DILLEN, Franki, VRANCKEN, Luc

Journal:

Japanese Journal of Mathematics

Year:

1998

Language:

english

File:

PDF, 1.35 MB

english, 1998

25

Towards a more direct policy feedback in circular economy monitoring via a societal needs perspective

Alaerts, Luc, Van Acker, Karel, Rousseau, Sandra, De Jaeger, Simon, Moraga, Gustavo, Dewulf, Jo, De Meester, Steven, Van Passel, Steven, Compernolle, Tine, Bachus, Kris, Vrancken, Karl, Eyckmans, Joha

Journal:

Resources, Conservation and Recycling

Year:

2019

Language:

english

File:

PDF, 602 KB

english, 2019

26

Three Dimensional Affine Hyperspheres Generated by Two Dimensional Partial Differential Equations

Journal:

Mathematische Nachrichten

Year:

2002

Language:

english

File:

PDF, 220 KB

english, 2002

27

When Do Some Geodesics of the Induced and the Metrical Connection Coincide?

Franki Dillen, Luc Vrancken

Journal:

Mathematische Nachrichten

Year:

1998

Language:

english

File:

PDF, 718 KB

english, 1998

28

The Role of Silanols in the Modification of Silica Gel with Aminosilanes

Karl C. Vrancken, Luc De Coster, Pascal Van Der Voort, Piet J. Grobet, Etienne F. Vansant

Journal:

Journal of Colloid and Interface Science

Year:

1995

File:

PDF, 341 KB

1995

29

On J-parallel totally real three-dimensional submanifolds of

Mirjana Djorić, Luc Vrancken

Journal:

Journal of Geometry and Physics

Year:

2010

Language:

english

File:

PDF, 471 KB

english, 2010

30

The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form

Zejun Hu, Cece Li, Haizhong Li, Luc Vrancken

Journal:

Journal of Geometry and Physics

Year:

2011

Language:

english

File:

PDF, 343 KB

english, 2011

31

Calabi-type composition of affine spheres

Franki Dillen, Luc Vrancken

Journal:

Differential Geometry and its Applications

Year:

1994

Language:

english

File:

PDF, 1.51 MB

english, 1994

32

4-dimensional minimal CR submanifolds of the sphere S6 satisfying Chen's equality

Miroslava Antić, Mirjana Djorić, Luc Vrancken

Journal:

Differential Geometry and its Applications

Year:

2007

Language:

english

File:

PDF, 156 KB

english, 2007

33

Pseudo-parallel Lagrangian submanifolds are semi-parallel

Franki Dillen, Joeri Van der Veken, Luc Vrancken

Journal:

Differential Geometry and its Applications

Year:

2009

Language:

english

File:

PDF, 124 KB

english, 2009

34

Affine surfaces with constant affine curvatures

Journal:

Geometriae Dedicata

Year:

1990

Language:

english

File:

PDF, 552 KB

english, 1990

35

Affine translation surfaces with constant sectional curvature

Martin Magid, Luc Vrancken

Journal:

Journal of Geometry

Year:

2000

Language:

english

File:

PDF, 282 KB

english, 2000

36

Degenerate homogeneous affine surfaces in ℝ3

Journal:

Geometriae Dedicata

Year:

1994

Language:

english

File:

PDF, 571 KB

english, 1994

37

Thomsen surfaces in affine 4-space

Journal:

Monatshefte für Mathematik

Year:

1996

Language:

english

File:

PDF, 558 KB

english, 1996

38

A basic inequality and new characterization of Whitney spheres in a complex space form

Haizhong Li, Luc Vrancken

Journal:

Israel Journal of Mathematics

Year:

2005

Language:

english

File:

PDF, 664 KB

english, 2005

39

CR-submanifolds of complex hyperbolic spaces satisfying a basic equality

Bang-Yen Chen, Luc Vrancken

Journal:

Israel Journal of Mathematics

Year:

1999

Language:

english

File:

PDF, 681 KB

english, 1999

40

The magid-ryan conjecture for 4-dimensional affine spheres

Els Bergen, Esther Ramakers, Luc Vrancken

Journal:

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

Year:

1999

Language:

english

File:

PDF, 643 KB

english, 1999

41

The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces

Franki Dillen, Luc Vrancken, K. U. Leuven

Journal:

manuscripta mathematica

Year:

1993

Language:

english

File:

PDF, 610 KB

english, 1993

42

Projectively flat affine surfaces with flat affine metric

Chaujun Isaac Lee, Luc Vrancken

Journal:

Journal of Geometry

Year:

2001

Language:

english

File:

PDF, 85 KB

english, 2001

43

Complete Hyperbolic Tchebychev Hypersurfaces

Udo Simon, Houda Trabelsi, Luc Vrancken

Journal:

Journal of Geometry

Year:

2008

Language:

english

File:

PDF, 409 KB

english, 2008

44

The Center Map of an Affine Immersion

Hitoshi Furuhata, Luc Vrancken

Journal:

Results in Mathematics

Year:

2006

Language:

english

File:

PDF, 193 KB

english, 2006

45

Characterizations of the Calabi Product of Hyperbolic Affine Hyperspheres

Zejun Hu, Haizhong Li, Luc Vrancken

Journal:

Results in Mathematics

Year:

2008

Language:

english

File:

PDF, 514 KB

english, 2008

46

Lorentzian Affine Hypersurfaces with Parallel Cubic Form

Zejun Hu, Cece Li, Haizhong Li, Luc Vrancken

Journal:

Results in Mathematics

Year:

2011

Language:

english

File:

PDF, 478 KB

english, 2011

47

Diversity of the total bacterial community associated with Ghanaian and Brazilian cocoa bean fermentation samples as revealed by a 16 S rRNA gene clone library

Tamara Garcia-Armisen, Zoi Papalexandratou, Hugo Hendryckx, Nicholas Camu, Gino Vrancken, Luc De Vuyst, Pierre Cornelis

Journal:

Applied Microbiology and Biotechnology

Year:

2010

Language:

english

File:

PDF, 372 KB

english, 2010

48

Mannitol production by heterofermentativeLactobacillus reuteriCRL 1101 andLactobacillus fermentumCRL 573 in free and controlled pH batch fermentations

Cecilia Rodríguez, Tom Rimaux, María José Fornaguera, Gino Vrancken, Graciela Font de Valdez, Luc De Vuyst, Fernanda Mozzi

Journal:

Applied Microbiology and Biotechnology

Year:

2012

Language:

english

File:

PDF, 581 KB

english, 2012

49

Parallel and semi-parallel hypersurfaces of( mathbb{S}^n )× ℝ

Joeri Van der Veken, Luc Vrancken

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

2008

Language:

english

File:

PDF, 155 KB

english, 2008

50

Constant angle surfaces in( {Bbb S}^2 imes {Bbb R} )

Franki Dillen, Johan Fastenakels, Joeri Van der Veken, Luc Vrancken

Journal:

Monatshefte für Mathematik

Year:

2007

Language:

english

File:

PDF, 82 KB

english, 2007