My idea: I thought this was not true because if I consider is true. Than I would contradict the result that says that every two regular surfaces are locally conformal. Thus if this was true, then all normal curvature would be locally the same. However I couldn't find a good and satisfactory counterexample or example to suport my idea. Would you help me with this? How to prove this question?
2026-04-01 06:54:47.1775026487
Are normal curvature invariant by local conformal maps?
46 Views Asked by user368312 https://math.techqa.club/user/user368312/detail AtRelated Questions in GEOMETRY
- Point in, on or out of a circle
- Find all the triangles $ABC$ for which the perpendicular line to AB halves a line segment
- How to see line bundle on $\mathbb P^1$ intuitively?
- An underdetermined system derived for rotated coordinate system
- Asymptotes of hyperbola
- Finding the range of product of two distances.
- Constrain coordinates of a point into a circle
- Position of point with respect to hyperbola
- Length of Shadow from a lamp?
- Show that the asymptotes of an hyperbola are its tangents at infinity points
Related Questions in DIFFERENTIAL-GEOMETRY
- Smooth Principal Bundle from continuous transition functions?
- Compute Thom and Euler class
- Holonomy bundle is a covering space
- Alternative definition for characteristic foliation of a surface
- Studying regular space curves when restricted to two differentiable functions
- What kind of curvature does a cylinder have?
- A new type of curvature multivector for surfaces?
- Regular surfaces with boundary and $C^1$ domains
- Show that two isometries induce the same linear mapping
- geodesic of infinite length without self-intersections
Related Questions in CURVATURE
- Sign of a curve
- What kind of curvature does a cylinder have?
- A new type of curvature multivector for surfaces?
- CAT(0) references request
- Why is $\kappa$ for a vertical line in 2-space not undefined?
- Discrete points curvature analysis
- Local computation of the curvature form of a line bundle
- Closed surface embedded in $\mathbb R^3$ with nonnegative Gaussian curvature at countable number of points
- What properties of a curve fail to hold when it is not regular?
- Finding the eigenvalues of differential Normal mapping of the Hyperbolic Paraboloid
Related Questions in CONFORMAL-GEOMETRY
- conformal mapping and rational function
- Conformal map from R3 to R2 x S1
- What can the disk conformally cover?
- How to find the Fuschian group associated with a region of the complex plane
- Convert a vector in Lambert Conformal Conical Projection to Cartesian
- Is a conformal transformation also a general coordinate transformation?
- Every conformal vector field on $\mathbb{R}^n$ is homothetic?
- Ill-known/original/interesting investigations on/applications of inversion (the geometric transform)
- Impossibility of conformally mapping graph of $x\sin(1/x)$ to $\mathbb{R}$
- How to bound the dimension of the conformal algebra of a manifold?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?