query: How to write the metric transformation of conformally related $S^3$ and $R^3$
positive_passages.docid: 154935
positive_passages.text: What is the metric tensor on the n-sphere (hypersphere)?
negative_passages.docid: 9775
negative_passages.text: Metric on Cartesian Product
negative_passages.docid: 9457
negative_passages.text: Compact Lie group bi-invariant metric
negative_passages.docid: 6227
negative_passages.text: Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
negative_passages.docid: 79861
negative_passages.text: Induced metric on a null hypersurface
negative_passages.docid: 95058
negative_passages.text: Finding a conformal map of slit disk on to unit disk
negative_passages.docid: 124688
negative_passages.text: Question about a metric on $\mathbb{R}^2$
negative_passages.docid: 128598
negative_passages.text: How to prove this is a metric?
negative_passages.docid: 127491
negative_passages.text: Isometric isomorphism between $R^2$ and $R$
negative_passages.docid: 50731
negative_passages.text: Isometries of the sphere $\mathbb{S}^{n}$
negative_passages.docid: 35291
negative_passages.text: How to show $d(x,y)= \sqrt{d_1(x_1,y_1)^2+d_2(x_2,y_2)^2}$ is a metric?
negative_passages.docid: 49503
negative_passages.text: Why does the natural quotient metric works in this case?
negative_passages.docid: 29810
negative_passages.text: Derivation of a generalization of Mertens' Third Theorem.
negative_passages.docid: 103778
negative_passages.text: Geometric interpretation of connection forms, torsion forms, curvature forms, etc
negative_passages.docid: 140692
negative_passages.text: Existence of a complete metric on $(0,1)$
negative_passages.docid: 85242
negative_passages.text: Deciding whether two metrics are topologically equivalent in the space $C^1([0,1])$
negative_passages.docid: 26299
negative_passages.text: Minkowski Metric Signature