Immersions in Warped Product Spaces
Marco Antonio Lázaro Velásquez, Henrique Fernandes de Lima, Giovanni Molica Bisci, et al.
Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis and global differential geometry. It touches upon key topics such as uniqueness results, height estimates, Riemannian immersions, and the geometrical behavior of submanifolds, while addressing complex phenomena that challenge traditional Euclidean assumptions. Divided into five comprehensive parts, the text provides clear refinements of recent findings, with connections to General Relativity and semi-Riemannian geometry.
Accessible yet thorough, this monograph is ideal for post-graduate students, researchers, and specialists across mathematics, geometry, and theoretical physics.
Kundenbewertungen
codimension reduction of submanifolds, drift Laplacian, complete spacelike mean curvature flow solitons, Calabi-Bernstein type results, stability of compact hypersurfaces, steady state type spacetimes, bifurcation and local rigidity of hypersurfaces, de Sitter and anti-de Sitter spaces, Bakry-Émery Ricci tensor, Generalized Robertson-Walker spacetime, Einstein-de Sitter spacetime, height estimates and half-space type results, weighted semi-Riemmanian warped products