Rigidity of gradient Einstein shrinkers

By G. Catino, L. Mazzieri, Samuele Mongodi. 2013

52 citations recorded by the source corpus.

In this paper, we consider a perturbation of the Ricci solitons equation proposed in [J.-P. Bourguignon, Ricci curvature and Einstein metrics, in Global Differential Geometry and Global Analysis, Lecture Notes in Mathematics, Vol. 838 (Springer, Berlin, 1981), pp. 42–63] and studied in [H.-D. Cao, Geometry of Ricci solitons, Chinese Ann. Math. Ser. B 27(2) (2006) 121–142] and we classify noncompact gradient shrinkers with bounded non-negative sectional curvature.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8412c97651c78ba60570766d2cefed72e14339b6

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. G. Catino
2. M. Rigoli
3. P. Mastrolia
4. D. Monticelli
5. E. Ribeiro
6. A. Barros
7. Xiuxiong Chen
8. Yuanqi Wang

In Astronomy and Astrophysics

1. G. Catino
2. M. Rigoli
3. D. Monticelli
4. P. Mastrolia
5. E. Ribeiro
6. A. Barros
7. Xiuxiong Chen
8. Yuanqi Wang

In Geometry and Topology

1. M. Rigoli
2. D. Monticelli
3. P. Mastrolia
4. G. Catino
5. Xiuxiong Chen
6. Yuanqi Wang

Citations in the corpus

• On the geometry of gradient einstein-type manifolds (2014, background): “Other examples are, for instance, Ricci almost solitons ([41]), Yamabe solitons ([19], [31],[21], [9]), Yamabe quasi-solitons ([27], [45]), conformal gradient solitons ([43], [15]), quasi-Einstein manifolds ([30], [12], [16], [26], [35]), ρ-Einstein solitons ([17], [18]).”