By Ali Baklouti, Aziz El Kacimi, Sadok Kallel, Nordine Mir

This e-book comprises chosen papers awarded on the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) convention, held in reminiscence of Mohammed Salah Baouendi, a most famous determine within the box of a number of advanced variables, who kicked the bucket in 2011. All learn articles have been written through prime specialists, a few of whom are prize winners within the fields of advanced geometry, algebraic geometry and research. The publication deals a useful source for all researchers drawn to fresh advancements in research and geometry.

**Read Online or Download Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia, March 2014. In Honour of Mohammed Salah Baouendi PDF**

**Best differential geometry books**

**Riemannian geometry, a beginner's guide**

The writer establishes simple fabric early to explain an important geometric good points of curved gadgets from the plebian racetrack to the grand buildings of the universe. The textual content concludes with a dialogue of world geometry and present examine on strength minimizing curves.

From the experiences: ". .. Federer's well timed and lovely ebook certainly fills the necessity for a complete treatise on geometric degree conception, and his distinct exposition leads from the rules of the speculation to the latest discoveries. . .. the writer writes with a particular kind that's either common and powerfully most economical in treating a classy topic.

**Smooth Manifolds and Observables**

This article serves as an creation to the speculation of soft manifolds, yet it is fairly not like the other textual content at the topic. The vintage method of manifold concept is heavy at the (point-set) topology and research; this one is heavy at the algebra. during this booklet, the writer exhibits manifold (in the conventional experience) is totally characterised by means of its ring of soft features.

**Differentialgeometrie und homogene Räume**

Das Ziel dieses Buches ist, im Umfang einer zweisemestrigen Vorlesung die wichtigsten Grundlagen der Riemannschen Geometrie mit allen notwendigen Zwischenresultaten bereitzustellen und die zentrale Beispielklasse der homogenen Räume ausführlich darzustellen. Homogene Räume sind Riemannsche Mannigfaltigkeiten, deren Isometriegruppe transitiv auf ihnen operiert.

- Connections, Curvature, and Cohomology
- Differentiable manifolds
- Riemannian Geometry
- Invariants of quadratic differential forms
- Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces
- Symmetry in Mechanics : A Gentle Modern Introduction

**Extra resources for Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia, March 2014. In Honour of Mohammed Salah Baouendi**

**Sample text**

8 Let C be an annulus and B a ball of Rd centered at the origin. A constant C exists so that, for any nonnegative integer k, any couple ( p, q) in [1, ∞]2 with q ≥ p ≥ 1 and any function u of L p (Rd ), we have Supp u ⊂ λB =⇒ D k u L q (Rd ) := sup ∂ α u |α|=k Supp u ⊂ λC =⇒ C −k−1 λk u L p (Rd ) L q (Rd ) ≤ Dk u ≤ C k+1 λ L p (Rd ) k+d( 1p − q1 ) ≤ C k+1 λk u u L p (Rd ) L p (Rd ) . 3 Main Results The development of microlocal tools adapted to the framework of problems at hand is an important issue: we refer for instance to the articles [4, 8, 10, 16, 17] where was constructed respectively Littlewood-Paley decompositions on the Heisenberg group, on graded Lie groups and on Lie groups of polynomial growth satisfying properties as Bony’s decomposition ([13]) in the euclidean case, which enabled to transpose many classical results to these general settings.

Soc. 295, 347–368 (1986) 16. D. Grundmeier, J. Lebl, L. Vivas, Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics. Mathematische Annalen 358(3–4), 1059–1089 (2014) 17. X. Huang, On a linearity problem for proper maps between balls in complex spaces of different dimensions. J. Differ. Geom. 51(1), 13–33 (1999) 18. X. Huang, S. Ji, Mapping Bn into B2n−1 . Inventiones Mathematicae 145, 219–250 (2001) 19. S. Ji, Y. Zhang, Classification of rational holomorphic maps from B 2 into B N with degree 2.

A similar idea applies for hyperquadric maps. The key point is the following essentially trivial result. Given the set up in the proposition, we define a polynomial mapping from Cn−l × Cl to some C K × C L by E A,B ( f, g) = (π A f ⊗ z) ⊕ (π B g ⊗ w) ⊕ (1 − π A ) f, (π B g ⊗ z) ⊕ (π A f ⊗ w) ⊕ (1 − π B )g . 1 Let ( f, g) : Cn−l × Cl → C N1 × C N2 be a polynomial mapping whose components are linearly independent. Write (z, w) for the variables in the domain. Let A be a subspace of C N1 and let B be a subspace of C N2 .