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Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces

Author

Listed:
  • Danilo F. Silva

    (Universidade Federal da Paraíba)

  • Eraldo A. Lima

    (Universidade Federal da Paraíba)

  • Henrique F. Lima

    (Universidade Federal de Campina Grande)

Abstract

Under suitable constraints on the Bakry–Émery–Ricci tensor and on the norm of the gradient of the height function, we apply some maximum principles related to the drift Laplacian in weighted Riemannian manifolds to study the uniqueness of complete spacelike hypersurfaces immersed with constant f-mean curvature in a weighted Lorentzian product space of the type $$-{{\mathbb {R}}}\times M^n_f.$$ - R × M f n . New Calabi–Bernstein type results concerning spacelike entire graphs defined on the Riemannian base $$M^n$$ M n are also given.

Suggested Citation

  • Danilo F. Silva & Eraldo A. Lima & Henrique F. Lima, 2023. "Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces," Partial Differential Equations and Applications, Springer, vol. 4(2), pages 1-16, April.
    • Handle: RePEc:spr:pardea:v:4:y:2023:i:2:d:10.1007_s42985-022-00221-z
    DOI: 10.1007/s42985-022-00221-z
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