A Note on Osserman Lorentzian Manifolds | Zendy

Blažić Novica | Zendy; Bokan Neda | Zendy; Gilkey Peter | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

A Note on Osserman Lorentzian Manifolds

Author(s) -

Blažić Novica,

Bokan Neda,

Gilkey Peter

Publication year - 1997

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609396002238

Subject(s) - mathematics , sectional curvature , manifold (fluid mechanics) , constant (computer programming) , pure mathematics , curvature , mathematical analysis , mean curvature , geometry , scalar curvature , mechanical engineering , computer science , engineering , programming language

Let p be a point of a Lorentzian manifold M . We show that if M is spacelike Osserman at p , then M has constant sectional curvature at p ; similarly, if M is timelike Osserman at p , then M has constant sectional curvature at p . The reverse implications are immediate. The timelike case and 4‐dimensional spacelike case were first studied in [ 3 ]; we use a different approach to this case. 1991 Mathematics Subject Classification 53B30, 53C50.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research