Newbetuts

The tangent space $T_x \mathbb S^n$ consists of such points in $\mathbb R^{n+1}$ that are perpendicular to $x$

Smooth maps (between manifolds) are continuous (comment in Barrett O'Neill's textbook)

Question about differential forms spherical

Vectors, Basis, Dual Vectors, Dual Basis and Tensors

Sections of associated bundles

What is the surface by identifying antipodal points of a 2-torus embedded in $\mathbb{R}^3$?

Pullback of a differential form by a local diffeomorphism

How does a metric tensor describe geometry on a manifold?

Divergence in curvilinear coordinates

Implicit formula for the Levi-Civita connection

On the definition of the geodesic curvature and its relation to concepts from Riemannian geometry

Square differential forms in cohomology

The curvature is equal to the derivative of the angle between the curve and the x-axis?

Diffeomorphism between $\mathbf S^2 \times \mathbf S^2$ and complex projective hypersurface

Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)

Supremum length of space curves contained in the open unit ball having always less than unity curvature

New posts in differential-geometry

Lie bracket of exact differential one-forms

Change of Variable formula for a non-differentiable mapping.

What's the intuition behind the Co-Area formula?

Are closed, properly embedded manifolds of co-dimension 1 in $\mathbb{R}^n$ orientable?

The tangent space $T_x \mathbb S^n$ consists of such points in $\mathbb R^{n+1}$ that are perpendicular to $x$

Smooth maps (between manifolds) are continuous (comment in Barrett O'Neill's textbook)

Question about differential forms spherical

Vectors, Basis, Dual Vectors, Dual Basis and Tensors

Sections of associated bundles

What is the surface by identifying antipodal points of a 2-torus embedded in $\mathbb{R}^3$?

Pullback of a differential form by a local diffeomorphism

How does a metric tensor describe geometry on a manifold?

Divergence in curvilinear coordinates

Implicit formula for the Levi-Civita connection

On the definition of the geodesic curvature and its relation to concepts from Riemannian geometry

Square differential forms in cohomology

The curvature is equal to the derivative of the angle between the curve and the x-axis?

Diffeomorphism between $\mathbf S^2 \times \mathbf S^2$ and complex projective hypersurface

Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)

Supremum length of space curves contained in the open unit ball having always less than unity curvature