field of differential geometry, the Kulkarni–Nomizu product (named for Ravindra Shripad Kulkarni and Katsumi Nomizu) is defined for two (0, 2)-tensors...
5 KB (1,012 words) - 02:34, 20 February 2024
Kulkarni (born 1942) is an Indian mathematician, specializing in differential geometry. He is known for the Kulkarni–Nomizu product. Ravi S. Kulkarni...
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x^{i}}}{\frac {\partial \phi ^{\beta }}{\partial x^{j}}}.} The Kulkarni–Nomizu product is an important tool for constructing new tensors from existing...
20 KB (5,396 words) - 04:22, 9 May 2024
Katsumi Nomizu (野水 克己, Nomizu Katsumi, December 1, 1924 – November 5, 2008) was a Japanese-American mathematician known for his work in differential geometry...
7 KB (870 words) - 20:17, 2 August 2023
physicist (1942–present CE) Ravindra Shripad Kulkarni, mathematician, known for Kulkarni-Nomizu product (1942–present CE) Shivram Bhoje, nuclear physicist...
24 KB (2,640 words) - 13:08, 16 July 2024
The Weyl tensor equals the Riemann curvature tensor minus the Kulkarni–Nomizu product of the Schouten tensor with the metric. In an index notation R...
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Ravindra Shripad Kulkarni -is an Indian mathematician, specializing in differential geometry. He is known for the Kulkarni–Nomizu product. S. S. Shrikhande...
30 KB (2,670 words) - 18:52, 9 March 2024
{\displaystyle h{~\wedge \!\!\!\!\!\!\!\!\;\bigcirc ~}k} denotes the Kulkarni–Nomizu product of two symmetric (0,2) tensors: ( h ∧ ◯ k ) ( v 1 , v 2 , v...
10 KB (1,742 words) - 17:55, 29 January 2024
{\displaystyle {~\wedge \!\!\!\!\!\!\!\!\;\bigcirc ~}} denotes the Kulkarni–Nomizu product and Hess is the Hessian. For calculation of curvature of hypersurfaces...
12 KB (2,081 words) - 01:20, 31 January 2024
tensor. Conversely, given a pair of symmetric 2-forms h and k, the Kulkarni–Nomizu product of h and k ( h ∧ ◯ k ) ( x , y , z , w ) = h ( x , z ) k (...
10 KB (2,269 words) - 12:15, 29 December 2023