Shijie GU

7786

On the equivalence of Alexandrov curvature and Busemann curvature

It is shown that the curvature bounded above (resp. below) in the sense of Alexandrov is equivalent to the curvature bounded above (resp. below) in the sense of Busemann if and only if the sum of adjacent average angles is at least (resp. at most) $\pi$.
Keywords:

Alexandrov curvature, Busemann curvature average angles,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Atef HASSAN

Yanisa CHAIYA, Preeyanuch HONYAM, Jintana SANWONG

Mohammad PIRHAJI, Maryam ZANGIABADI, Hossein MANSOURI

Orhan GÜRGÜN

Hamid MAMGHADERI, Hashem Parvaneh MASIHA, Meraj HOSSEINI

WW-Gorenstein objects in triangulated categories

Chaoling HUANG, Kaituo LIU

Zechariah MUSHAANDJA, Olivier Olela OTAFUDU

LIANGXUE PENG, Chong YANG

Sara HASSANI, Musa MAMMADOV, Mina JAMSHIDI

Toufik MANSOUR, Mohammad Ali ROSTAMI, Suresh ELUMALAI, Britto Antony XAVIER