Andreas Bernig's publications   

Nr.

Title

Journal

Co-author(s)
       

42

 Crofton formulas in pseudo-Riemannian space forms Preprint submitted D. Faifman, G. Solanes

41

 Uniqueness of curvature measures in pseudo-Riemannian geometry The Journal of Geometric Analysis 31(2021), 11819–11848 D. Faifman, G. Solanes

40

 Additive kinematic formulas for flag area measures
 Mathematische Annalen 381(2021), 1615-1652 Judit Abardia-Evéquoz

39

 Unitarily invariant valuations and Tutte's sequence Proceedings of the AMS 149(2) (2021), 829-841  

38

 Curvature measures of pseudo-Riemannian manifolds

Journal Reine Angewandte Mathematik (2022),
to appear

 D. Faifman, G. Solanes

37

 Flag area measures Mathematika, 65 (2019), 958-989 J. Abardia-Evéquoz, S. Dann

36

 Dual area measures and local additive kinematic formulas Geometriae Dedicata, 203(1) (2019), 85-110  

35

 Kinematic formulas for tensor valuations Journal Reine Angewandte Mathematik, 736 (2018), 141-191 D. Hug

34

 Valuation theory of indefinite orthogonal groups Journal of Functional Analysis 273 (2017), 2167-2247 D. Faifman

33

 Kinematic formulas on the quaternionic plane Proceedings of the London Mathematical Society 115 (2017), 725-762 G. Solanes

32

 Natural operations on differential forms on contact manifolds Differential Geometry and its applications 50 (2017), 34-51  

31

 Convolution of valuations on manifolds Journal of Differential Geometry, 107 (2017), 203-240 S. Alesker

30

 Generalized translation invariant valuations and the polytope algebra Advances in Mathematics 290 (2016), 36-72 D. Faifman

29

 Spin(9)-invariant valuations on the octonionic plane Israel Journal of Mathematics 214 (2016), 831-855 F. Voide

28

 Classification of invariant valuations on the quaternionic plane Journal of Functional Analysis 267 (2014), 2933-2961 Gil Solanes

27

 Integral geometry of complex space forms Geometric and Functional Analysis 24 (2014), 403-492 J. H. G. Fu, Gil Solanes

26

 Centroid bodies and the convexity of area functionals Journal of Differential Geometry 98 (2014), 357-373  

25

 The isoperimetrix in the dual Brunn-Minkowski theory Advances in Mathematics 254 (2014), 1-14  
24
 Invariant valuations on quaternionic vector spaces Journal de l'Institut de Mathématiques de Jussieu 11 (2012), 467-499

 
23
 The product on smooth and generalized valuations American Journal of Mathematics 134 (2012), 507-560

S. Alesker
22
 Hermitian Integral Geometry Annals of Mathematics 173 (2011), 907-945

J. H. G. Fu
21
 Harmonic analysis of translation invariant valuations Geometric and Functional Analysis 21 (2011), 751-773

S. Alesker, F. Schuster
20
 Projection bodies in complex vector spaces Advances in Mathematics 227 (2011), 830-846

J. Abardia
19
 Integral Geometry under G_2 and Spin(7) Israel Journal of Mathematics 184 (2011), 301-316  
18
 Volume entropy of Hilbert geometries Pacific Journal of Mathematics 245 (2010), 201-225

G. Berck, C. Vernicos
17
 A Hadwiger-type theorem for the special unitary group Geometric and Functional Analysis 19 (2009), 356-372  
16
 Hilbert geometry of polytopes Archiv der Mathematik 92 (2009), 314-324  
15
 A product formula for valuations on manifolds with applications to the integral geometry of the quaternionic line Commentarii Mathematici Helvetici 84 (2009), 1-19  
14
 Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces Journal Reine Angewandte Mathematik 608 (2007), 1-15 A. Lytchak
13
 The normal cycle of a compact definable set Israel Journal of Mathematics 159 (2007), 373-411  
12
 Valuations on manifolds and Rumin cohomology Journal of Differential Geometry 75 (2007), 433-457 L. Bröcker
11
 Valuations with Crofton formula and Finsler geometry

Advances in Mathematics 210 (2007), 733-753

  
10
 Convolution of convex valuations Geometriae Dedicata 123 (2006), 153-169 J. H. G. Fu
9
 Support functions, projections and Minkowski addition of Legendrian cycles Indiana University Mathematics Journal 55 (2006), 443-464  
8
 Curvature tensors of singular spaces Differential Geometry and its applications 24 (2006), 191-208  
7
 Gromov-Hausdorff limits in definable families Illinois Journal of Mathematics 49 (2005), 475-485  
6
 Variations of Curvatures of Subanalytic Spaces and Schläfli-type Formulas Annals of Global Analysis and Geometry 24 (2003), 67-93  
5
 Non standard metric products Beiträge Algebra Geometrie 44 (2003), 499-510

T. Foertsch, V. Schroeder
4
 Courbures intrinsèques dans les Catégories analytico-géométriques Annales de l'Institut Fourier 53 (2003), 1897-1924 L. Bröcker
3
 Scalar Curvature of definable CAT-Spaces Advances in Geometry 3 (2003), 23-43  
2
 Lipschitz-Killing Invariants Mathematische Nachrichten 245 (2002), 5-25 L. Bröcker
1
 Scalar Curvature of definable Alexandrov Spaces Advances in Geometry 2 (2002), 29-55  

 

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