books

Lie Groups:

Differential geometry, Lie groups, and symmetric spaces / S. Helgason.

Representations of Nilpotent Lie Groups and their Applications / L. Corwin and F. Greenleaf

Foundations of Differentiable Manifolds and Lie Groups / F. Warner

Lie Groups: Beyond an Introduction / A. Knapp

Analysis and Geometry on Groups / N.Varopoulos, L. Saloff-Coste, T. Coulhon

Nilpotent Lie groups: Structure and applications to analysis / R. Goodman

Differential geometry:

Riemannian Geometry / M. do Carmo

Riemannian Manifolds: An Introduction to Curvature / John M. Lee

Riemannian Geometry / P. Petersen

Riemannian Geometry / S Gallot, D. Hulin, J. Lafontaine

S. Lang, Fundamentals of Differential Geometry.

J. Lee, Introduction to Smooth Manifolds.

M Spivak, A Comprehensive Introduction to Differential Geometry, (5 Volumes)

F. Warner, Foundations of Differentiable Manifolds and Lie Groups

Differential geometry, Lie groups, and symmetric spaces / S. Helgason

Topology From Differentiable Viewpoint / J. Milnor

Geometria Differenziale / M. Abate, F. Tovena