Riemannian meaning in urdu

of or relating to Riemann's non-Euclidean geometry

ریمن کی غیر یوکلیڈین جیومیٹری کا یا اس سے متعلق

1. Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.

جرمن ریاضی دان برن ہارڈ ریمن کے کام سے تیار کردہ کام، یا نظریہ سے متعلق یا اس سے متعلق، خاص طور پر ریمانین مینی فولڈز اور ریمانین جیومیٹری سے۔

1. As the preferred metrics applied to symplectic forms are Kähler metrics one could ask for the Riemannian structure which would make the cone with the metric g ¯ = d t 2 + t 2 g {\displaystyle {\overline {g}}=dt^{2}+t^{2}g} together with the symplectic form ω {\displaystyle \omega } into a Kähler manifold. Then g ¯ {\displaystyle {\overline {g}}} and ω {\displaystyle \omega } define a complex structure Φ ¯ {\displaystyle {\overline {\Phi }}} . Alternatively, one could ask for a Riemannian metric g {\displaystyle g} on M {\displaystyle M} which would define a Kähler metric h {\displaystyle h} on Z {\displaystyle {\mathcal {Z}}} via a Riemannian submersion.

2. Similarly, A ^ ( M ) {\displaystyle {\hat {A}}(M)} is represented by the closed differential form A ^ ( M ) = det ( R / 2 sinh ⁡ ( R / 2 ) ) {\displaystyle {\hat {A}}(M)={\sqrt {\operatorname {det} }}\left({\frac {R/2}{\sinh(R/2)}}\right)}$V$A ^ ( M ) = det ( R / 2 sinh ⁡ ( R / 2 ) ) {\displaystyle {\hat {A}}(M)={\sqrt {\operatorname {det} }}\left({\frac {R/2}{\sinh(R/2)}}\right)}$V$A ^ ( M ) = det ( R / 2 sinh ⁡ ( R / 2 ) ) {\displaystyle {\hat {A}}(M)={\sqrt {\operatorname {det} }}\left({\frac {R/2}{\sinh(R/2)}}\right)}$V$A ^ ( M ) = det ( R / 2 sinh ⁡ ( R / 2 ) ) {\displaystyle {\hat {A}}(M)={\sqrt {\operatorname {det} }}\left({\frac {R/2}{\sinh(R/2)}}\right)}$V$where R {\displaystyle R} is the Riemannian curvature of the metric g {\displaystyle g} , regarded as an End ⁡ ( T M ) {\displaystyle \textstyle \operatorname {End} (TM)} -valued two form, and det {\displaystyle {\sqrt {\operatorname {det} }}} is the Pfaffian, which is an invariant polynomial defined on the Lie algebra of skew symmetric matrices in even dimensions.

3. The object of this appendix is to give a summary of known results on 1-dimensional oriented Riemannian Foliations.

2. Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".

جرمن تھیوریسٹ ہیوگو ریمن کے میوزیکل تھیوریز سے متعلق، خاص طور پر ان کا نظریہ ہم آہنگی، جس کی خصوصیت "ہارمونک ڈوئل ازم" کے نظام سے ہے۔

1. And not only theory: most central European composers of this century were schooled in Riemannian doctrine of one type or another.

2. Or take, for example, the rehabilitation by late-twentieth-century North American theorists of Riemannian Tonnetze as a means to navigate the voice-leading intricacies of much chromatic and post-chromatic music.

3. The paper connects two notions originating from different branches of the recent mathematical music theory: the neo-Riemannian Tonnetz and the property of well-formedness from the theory of the generated scales.

Riemannian geometry (ریمینین جیومیٹری)

Riemannian manifold (Riemanian کئی گنا)

neo-Riemannian (نو ریمانیئن)

pseudo-Riemannian (چھدم-ریمینین)