"This is a very well-written book on an active area of research appealing to geometers and analysts alike, whether they are specialists in the field, or they simply desire to learn the techniques. Moreover, the applications included in this volume encompass a variety of directions with an accent on the geometry of hypersurfaces, while the high number of references dating from 2000 or later are a testimonial of the state of the art developments presented in this volume." (Alina Stancu, zbMATH 1346.58001, 2016)

• A crash course in Riemannian geometry.- The Omori-Yau maximum principle.- New forms of the maximum principle.- Sufficient conditions for the validity of the weak maximum principle.- Miscellany results for submanifolds.- Applications to hypersurfaces.- Hypersurfaces in warped products.- Applications to Ricci Solitons.- Spacelike hypersurfaces in Lorentzian spacetimes.

"This is a very well-written book on an active area of research appealing to geometers and analysts alike, whether they are specialists in the field, or they simply desire to learn the techniques. Moreover, the applications included in this volume encompass a variety of directions with an accent on the geometry of hypersurfaces, while the high number of references dating from 2000 or later are a testimonial of the state of the art developments presented in this volume." (Alina Stancu, zbMATH 1346.58001, 2016)

• A crash course in Riemannian geometry.- The Omori-Yau maximum principle.- New forms of the maximum principle.- Sufficient conditions for the validity of the weak maximum principle.- Miscellany results for submanifolds.- Applications to hypersurfaces.- Hypersurfaces in warped products.- Applications to Ricci Solitons.- Spacelike hypersurfaces in Lorentzian spacetimes.