query: Gauss curvature of $(M, f^2 g)$
positive_passages.docid: 147059
positive_passages.text: Gauss curvature of conformal metrics
negative_passages.docid: 1531
negative_passages.text: Exercise from Geometry of algebraic curves by Arbarello, Cornalba, Griffiths, Harris
negative_passages.docid: 90142
negative_passages.text: Show that $r$ is a spherical curve iff $(1/\kappa)^2+((1/\kappa)'(1/\tau))^2$ is a constant.
negative_passages.docid: 118622
negative_passages.text: Local diffeomorphism from $\mathbb R^2$ onto $S^2$
negative_passages.docid: 52316
negative_passages.text: Geodesics and Curves on a Plane
negative_passages.docid: 95221
negative_passages.text: Is the cuspidal cubic $\{y^2 = x^3\} \subset \Bbb R^2$ not smooth?
negative_passages.docid: 47075
negative_passages.text: Multivariable Gauss's Lemma
negative_passages.docid: 148162
negative_passages.text: Mean curvature is the divergence of the normal
negative_passages.docid: 11000
negative_passages.text: Fundamental group of $\mathbb{R}^2 \setminus (\mathbb{Z} \times \{0\})$
negative_passages.docid: 98656
negative_passages.text: Geometric multiplicity of the largest eigenvalue
negative_passages.docid: 37796
negative_passages.text: Curves with constant curvature and constant torsion
negative_passages.docid: 114047
negative_passages.text: Metric $d(x,y)=\frac{|x-y|}{\sqrt{1+x^2}\sqrt{1+y^2}}$ on $\mathbb{R}$
negative_passages.docid: 65809
negative_passages.text: Show that $d_2$ defined by $d_2(x,y)=\frac{|x-y|}{1+|x-y|}$ is a metric
negative_passages.docid: 105997
negative_passages.text: Geometric interpretation of $\frac {\partial^2} {\partial x \partial y} f(x,y)$
negative_passages.docid: 143314
negative_passages.text: Sylow subgroup of $S_{p^2}$
negative_passages.docid: 11196
negative_passages.text: Gaussian and Mean Curvatures for a Ruled Surface
negative_passages.docid: 27366
negative_passages.text: Prove that $g$ is tangent to the graph of $f$