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Author ID: bernig.andreas Recent zbMATH articles by "Bernig, Andreas"
Published as: Bernig, Andreas; Bernig, A.
External Links: MGP
Documents Indexed: 46 Publications since 2000, including 1 Book
2 Contributions as Editor
Reviewing Activity: 20 Reviews
Co-Authors: 17 Co-Authors with 27 Joint Publications
232 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 575 times in 215 Documents Cited by Year
Hermitian integral geometry. Zbl 1230.52014
Bernig, Andreas; Fu, Joseph H. G.
75
2011
Projection bodies in complex vector spaces. Zbl 1217.52009
Abardia, Judit; Bernig, Andreas
47
2011
Harmonic analysis of translation invariant valuations. Zbl 1228.53088
Alesker, Semyon; Bernig, Andreas; Schuster, Franz E.
45
2011
Valuations on manifolds and Rumin cohomology. Zbl 1117.58005
Bernig, Andreas; Bröcker, Ludwig
36
2007
Integral geometry of complex space forms. Zbl 1298.53074
Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil
36
2014
A Hadwiger-type theorem for the special unitary group. Zbl 1180.53076
Bernig, Andreas
28
2009
Convolution of convex valuations. Zbl 1117.53054
Bernig, Andreas; Fu, Joseph H. G.
27
2006
Kinematic formulas for tensor valuations. Zbl 06847720
Bernig, Andreas; Hug, Daniel
23
2018
The product on smooth and generalized valuations. Zbl 1242.53096
Alesker, Semyon; Bernig, Andreas
22
2012
Algebraic integral geometry. Zbl 1252.52002
Bernig, Andreas
20
2012
Integral geometry under \(G_2\) and \(Spin(7)\). Zbl 1262.53067
Bernig, Andreas
16
2011
Valuations with Crofton formula and Finsler geometry. Zbl 1128.53047
Bernig, Andreas
15
2007
A product formula for valuations on manifolds with applications to the integral geometry of the quaternionic line. Zbl 1162.53055
Bernig, Andreas
13
2009
Invariant valuations on quaternionic vector spaces. Zbl 1248.53059
Bernig, Andreas
12
2012
Classification of invariant valuations on the quaternionic plane. Zbl 1305.53076
Bernig, Andreas; Solanes, Gil
12
2014
Spin-invariant valuations on the octonionic plane. Zbl 1347.53065
Bernig, Andreas; Voide, Floriane
11
2016
The isoperimetrix in the dual Brunn-Minkowski theory. Zbl 1291.52007
Bernig, Andreas
11
2014
Intrinsic curvatures in analytic-geometric categories. (Courbures intrinsèques dans les catégories analytico-géométriques.) Zbl 1053.53053
Bernig, Andreas; Bröcker, Ludwig
10
2003
Non standard metric products. Zbl 1049.54009
Bernig, Andreas; Foertsch, Thomas; Schroeder, Viktor
9
2003
Lipschitz-Killing invariants. Zbl 1074.53064
Bernig, Andreas; Bröcker, Ludwig
9
2002
Scalar curvature of definable Alexandrov spaces. Zbl 1027.53041
Bernig, Andreas
8
2002
Hilbert geometry of polytopes. Zbl 1171.53046
Bernig, Andreas
8
2009
Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces. Zbl 1128.53024
Bernig, Andreas; Lytchak, Alexander
8
2007
Valuation theory of indefinite orthogonal groups. Zbl 1373.52017
Bernig, Andreas; Faifman, Dmitry
8
2017
Dual curvature measures in Hermitian integral geometry. Zbl 1434.53080
Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil
7
2018
The normal cycle of a compact definable set. Zbl 1119.37025
Bernig, Andreas
7
2007
Scalar curvature of defineable CAT-spaces. Zbl 1028.53031
Bernig, Andreas
7
2003
Kinematic formulas on the quaternionic plane. Zbl 1430.52017
Bernig, Andreas; Solanes, Gil
6
2017
Volume entropy of Hilbert geometries. Zbl 1204.52003
Berck, Gautier; Bernig, Andreas; Vernicos, Constantin
6
2010
Curvature tensors of singular spaces. Zbl 1137.53341
Bernig, Andreas
5
2006
Generalized translation invariant valuations and the polytope algebra. Zbl 1336.52019
Bernig, Andreas; Faifman, Dmitry
5
2016
Centroid bodies and the convexity of area functionals. Zbl 1302.52007
Bernig, Andreas
4
2014
Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021
Bernig, Andreas; Hug, Daniel
4
2017
Natural operations on differential forms on contact manifolds. Zbl 1355.53069
Bernig, Andreas
3
2017
Support functions, projections and Minkowski addition of Legendrian cycles. Zbl 1125.53063
Bernig, Andreas
3
2006
Convolution of valuations on manifolds. Zbl 1387.53099
Alesker, Semyon; Bernig, Andreas
3
2017
Variation of curvatures of subanalytic spaces and Schläfli-type formulas. Zbl 1037.32012
Bernig, Andreas
2
2003
Flag area measures. Zbl 1420.52010
Abardia-Evéquoz, Judit; Bernig, Andreas; Dann, Susanna
1
2019
Scalar curvature of singular spaces. (Skalare Krümmung singulärer Räume.) Zbl 1039.53028
Bernig, Andreas
1
2000
Uniqueness of curvature measures in pseudo-Riemannian geometry. Zbl 07430436
Bernig, Andreas; Faifman, Dmitry; Solanes, Gil
1
2021
Dual area measures and local additive kinematic formulas. Zbl 1432.53099
Bernig, Andreas
1
2019
Uniqueness of curvature measures in pseudo-Riemannian geometry. Zbl 07430436
Bernig, Andreas; Faifman, Dmitry; Solanes, Gil
1
2021
Flag area measures. Zbl 1420.52010
Abardia-Evéquoz, Judit; Bernig, Andreas; Dann, Susanna
1
2019
Dual area measures and local additive kinematic formulas. Zbl 1432.53099
Bernig, Andreas
1
2019
Kinematic formulas for tensor valuations. Zbl 06847720
Bernig, Andreas; Hug, Daniel
23
2018
Dual curvature measures in Hermitian integral geometry. Zbl 1434.53080
Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil
7
2018
Valuation theory of indefinite orthogonal groups. Zbl 1373.52017
Bernig, Andreas; Faifman, Dmitry
8
2017
Kinematic formulas on the quaternionic plane. Zbl 1430.52017
Bernig, Andreas; Solanes, Gil
6
2017
Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021
Bernig, Andreas; Hug, Daniel
4
2017
Natural operations on differential forms on contact manifolds. Zbl 1355.53069
Bernig, Andreas
3
2017
Convolution of valuations on manifolds. Zbl 1387.53099
Alesker, Semyon; Bernig, Andreas
3
2017
Spin-invariant valuations on the octonionic plane. Zbl 1347.53065
Bernig, Andreas; Voide, Floriane
11
2016
Generalized translation invariant valuations and the polytope algebra. Zbl 1336.52019
Bernig, Andreas; Faifman, Dmitry
5
2016
Integral geometry of complex space forms. Zbl 1298.53074
Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil
36
2014
Classification of invariant valuations on the quaternionic plane. Zbl 1305.53076
Bernig, Andreas; Solanes, Gil
12
2014
The isoperimetrix in the dual Brunn-Minkowski theory. Zbl 1291.52007
Bernig, Andreas
11
2014
Centroid bodies and the convexity of area functionals. Zbl 1302.52007
Bernig, Andreas
4
2014
The product on smooth and generalized valuations. Zbl 1242.53096
Alesker, Semyon; Bernig, Andreas
22
2012
Algebraic integral geometry. Zbl 1252.52002
Bernig, Andreas
20
2012
Invariant valuations on quaternionic vector spaces. Zbl 1248.53059
Bernig, Andreas
12
2012
Hermitian integral geometry. Zbl 1230.52014
Bernig, Andreas; Fu, Joseph H. G.
75
2011
Projection bodies in complex vector spaces. Zbl 1217.52009
Abardia, Judit; Bernig, Andreas
47
2011
Harmonic analysis of translation invariant valuations. Zbl 1228.53088
Alesker, Semyon; Bernig, Andreas; Schuster, Franz E.
45
2011
Integral geometry under \(G_2\) and \(Spin(7)\). Zbl 1262.53067
Bernig, Andreas
16
2011
Volume entropy of Hilbert geometries. Zbl 1204.52003
Berck, Gautier; Bernig, Andreas; Vernicos, Constantin
6
2010
A Hadwiger-type theorem for the special unitary group. Zbl 1180.53076
Bernig, Andreas
28
2009
A product formula for valuations on manifolds with applications to the integral geometry of the quaternionic line. Zbl 1162.53055
Bernig, Andreas
13
2009
Hilbert geometry of polytopes. Zbl 1171.53046
Bernig, Andreas
8
2009
Valuations on manifolds and Rumin cohomology. Zbl 1117.58005
Bernig, Andreas; Bröcker, Ludwig
36
2007
Valuations with Crofton formula and Finsler geometry. Zbl 1128.53047
Bernig, Andreas
15
2007
Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces. Zbl 1128.53024
Bernig, Andreas; Lytchak, Alexander
8
2007
The normal cycle of a compact definable set. Zbl 1119.37025
Bernig, Andreas
7
2007
Convolution of convex valuations. Zbl 1117.53054
Bernig, Andreas; Fu, Joseph H. G.
27
2006
Curvature tensors of singular spaces. Zbl 1137.53341
Bernig, Andreas
5
2006
Support functions, projections and Minkowski addition of Legendrian cycles. Zbl 1125.53063
Bernig, Andreas
3
2006
Intrinsic curvatures in analytic-geometric categories. (Courbures intrinsèques dans les catégories analytico-géométriques.) Zbl 1053.53053
Bernig, Andreas; Bröcker, Ludwig
10
2003
Non standard metric products. Zbl 1049.54009
Bernig, Andreas; Foertsch, Thomas; Schroeder, Viktor
9
2003
Scalar curvature of defineable CAT-spaces. Zbl 1028.53031
Bernig, Andreas
7
2003
Variation of curvatures of subanalytic spaces and Schläfli-type formulas. Zbl 1037.32012
Bernig, Andreas
2
2003
Lipschitz-Killing invariants. Zbl 1074.53064
Bernig, Andreas; Bröcker, Ludwig
9
2002
Scalar curvature of definable Alexandrov spaces. Zbl 1027.53041
Bernig, Andreas
8
2002
Scalar curvature of singular spaces. (Skalare Krümmung singulärer Räume.) Zbl 1039.53028
Bernig, Andreas
1
2000
all top 5

Cited by 175 Authors

27 Bernig, Andreas
12 Alesker, Semyon
11 Schuster, Franz E.
10 Wang, Weidong
9 Ludwig, Monika
8 Hug, Daniel
8 Parapatits, Lukas
7 Solanes, Gil
7 Wannerer, Thomas
6 Abardia, Judit
6 Dutertre, Nicolas
6 Faifman, Dmitry
6 Feng, Yibin
6 Fu, Joseph Howland Guthrie
6 Lytchak, Alexander
6 Wang, Wei
5 Abardia-Evéquoz, Judit
5 Haberl, Christoph
4 Birbrair, Lev
4 Böröczky, Karoly jun.
4 Colesanti, Andrea
4 Dovgoshey, Oleksiy Alfredovich
4 He, Binwu
4 Huang, Qingzhong
4 Liu, Lijuan
4 Mussnig, Fabian
4 Werner, Elisabeth M.
4 Zhao, Changjian
3 Besau, Florian
3 Gómez, Eugenia Saorín
3 Kiderlen, Markus
3 Leng, Gangsong
3 Li, Jin
3 Mahmudov, Elimhan Nadir
3 Rataj, Jan
3 Vernicos, Constantin
3 Weil, Wolfgang
3 Wenger, Stefan
3 Yang, Deane
3 Zhou, Yanping
2 Berg, Astrid
2 Dann, Susanna
2 Domokos, Mátyás
2 Dorrek, Felix
2 Fernandes, Alexandre Cesar Gurgel
2 Grandjean, Vincent
2 He, Rigao
2 Henk, Martin
2 Koike, Satoshi
2 Kotrbatý, Jan
2 Lutwak, Erwin
2 Ma, Tongyi
2 Navarro Garmendia, José
2 Neumann, Walter David
2 Nicolaescu, Liviu I.
2 Paunescu, Laurentiu
2 Sampaio, José Edson
2 Taylor, Jonathan E.
2 Vedel Jensen, Eva Bjørn
2 Weis, Jan A.
2 Ye, Deping
2 Zähle, Martina
2 Zhang, Gaoyong
1 Adler, Robert Joseph
1 Akhiezer, Dmitriĭ Naumovich
1 Alonso-Gutiérrez, David
1 Baldi, Annalisa
1 Ball, Keith Martin
1 Baryshnikov, Yuliy M.
1 Berestovskiĭ, Valeriĭ Nikolaevich
1 Bilet, Viktoriia V.
1 Bröcker, Ludwig
1 Bucher, Michelle
1 Caglar, Umut
1 Chen, Beifang
1 Chen, Feixiang
1 Cheng, Manli
1 Colbois, Bruno
1 Crampon, Mickaël
1 Creutz, Paul
1 Dang, Nguyen-Bac
1 Dang, Nguyen Viet
1 Dumas, David
1 Eriksen, Rikke
1 Franchi, Bruno
1 Gallego, Eduardo
1 Gardner, Richard J.
1 Ghomi, Mohammad
1 Ghrist, Robert W.
1 Glaunès, Joan Alexis
1 Goodey, Paul R.
1 Gordillo-Merino, Adrián
1 Grieser, Daniel
1 Gromov, Mikhael Leonidovich
1 Grote, Julian
1 Gu, David Xianfeng
1 Guo, Jinsheng
1 Hernández Cifre, María A.
1 Hinderer, Wolfram
1 Huang, Yong
...and 75 more Authors
all top 5

Cited in 84 Serials

28 Advances in Mathematics
10 Geometric and Functional Analysis. GAFA
9 The Journal of Geometric Analysis
8 Geometriae Dedicata
8 Journal of Functional Analysis
7 Transactions of the American Mathematical Society
7 Journal of Inequalities and Applications
6 Israel Journal of Mathematics
6 Advances in Applied Mathematics
5 Journal of Mathematical Analysis and Applications
5 Proceedings of the American Mathematical Society
5 Advances in Geometry
4 Journal of the European Mathematical Society (JEMS)
3 Annales de l’Institut Fourier
3 Journal für die Reine und Angewandte Mathematik
3 Mathematica Slovaca
3 Differential Geometry and its Applications
3 Calculus of Variations and Partial Differential Equations
3 Selecta Mathematica. New Series
2 Acta Mathematica
2 The Annals of Probability
2 Duke Mathematical Journal
2 Glasgow Mathematical Journal
2 Journal of Optimization Theory and Applications
2 Mathematika
2 Annals of Global Analysis and Geometry
2 Discrete & Computational Geometry
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Geometry & Topology
2 Central European Journal of Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Oberwolfach Reports
2 Open Mathematics
1 Archive for Rational Mechanics and Analysis
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Archivum Mathematicum
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Quaestiones Mathematicae
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 L’Enseignement Mathématique. 2e Série
1 Expositiones Mathematicae
1 Russian Mathematics
1 Electronic Journal of Probability
1 Positivity
1 Mathematical Inequalities & Applications
1 Annals of Mathematics. Second Series
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 DGDS. Differential Geometry – Dynamical Systems
1 Algebraic & Geometric Topology
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 SIAM Journal on Imaging Sciences
1 Advances in Calculus of Variations
1 Journal of Nonlinear Science and Applications
1 Journal of Singularities
1 Applied General Topology
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Journal of Pseudo-Differential Operators and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Annales Mathématiques du Québec
1 Analysis and Geometry in Metric Spaces
1 Geometry
1 Journal of Function Spaces
1 Arnold Mathematical Journal
1 European Journal of Mathematics
1 SIAM Journal on Applied Algebra and Geometry

Citations by Year