Algebraic Integral Geometry

By A. Bernig. 2010

63 citations recorded by the source corpus.

A survey on recent developments in (algebraic) integral geometry is given. The main focus lies on algebraic structures on the space of translation invariant valuations and applications in integral geometry.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/291ecdbc0e7abef55f6dfa834066c3f2b3c08796

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Daniel Hug
2. A. Bernig
3. Thomas Wannerer
4. Franz E. Schuster
5. Semyon Alesker
6. Judit Abardia
7. Christoph Haberl
8. Deping Ye

In Geometry and Topology

1. Daniel Hug
2. A. Bernig
3. Semyon Alesker
4. Thomas Wannerer
5. Franz E. Schuster
6. Christoph Haberl

Citations in the corpus

• Kinematic formulas for tensor valuations (2014, methodology): “onstants dΦ ij depend on Φ and the chosen bases. Hence, kG s 1,s 2 (Φ)(K,L) = X i,j dΦ ij Φi(K)⊗Ψj(L) (7) for K,L∈ K(V). 3.3. Relation between algebraic structures and kinematic formulas. We refer to [15, 16, 17, 18, 20] for the relation between algebraic structures on scalar valued valuations and i”